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Finding the Fourth Proportional to 10,575.84, 15,863.76 and 5,100

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Solution

The fourth proportional to 10,575.84, 15,863.76 and 5,100 is: 7,650

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.84 : 15,863.76 = 5,100 : x
  2. Step 2: Convert to fraction form
    10,575.84/15,863.76 = 5,100/x
  3. Step 3: Cross multiply
    10,575.84x = 15,863.76 × 5,100
  4. Step 4: Simplify right side
    10,575.84x = 80,905,176
  5. Step 5: Solve for x
    x = 80,905,176/10,575.84
  6. Step 6: Final answer
    x = 7,650

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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.