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Finding the Fourth Proportional to 10,580.84, 15,882.43 and 10,342.55

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Solution

The fourth proportional to 10,580.84, 15,882.43 and 10,342.55 is: 15,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.84 : 15,882.43 = 10,342.55 : x
  2. Step 2: Convert to fraction form
    10,580.84/15,882.43 = 10,342.55/x
  3. Step 3: Cross multiply
    10,580.84x = 15,882.43 × 10,342.55
  4. Step 4: Simplify right side
    10,580.84x = 164,264,826.40
  5. Step 5: Solve for x
    x = 164,264,826.40/10,580.84
  6. Step 6: Final answer
    x = 15,524.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.