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Finding the Fourth Proportional to 10,523.84, 14,523 and 5,808.02

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Solution

The fourth proportional to 10,523.84, 14,523 and 5,808.02 is: 8,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.84 : 14,523 = 5,808.02 : x
  2. Step 2: Convert to fraction form
    10,523.84/14,523 = 5,808.02/x
  3. Step 3: Cross multiply
    10,523.84x = 14,523 × 5,808.02
  4. Step 4: Simplify right side
    10,523.84x = 84,349,874.46
  5. Step 5: Solve for x
    x = 84,349,874.46/10,523.84
  6. Step 6: Final answer
    x = 8,015.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.