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Finding the Fourth Proportional to 10,302.74, 14,217.78 and 5,587.04

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Solution

The fourth proportional to 10,302.74, 14,217.78 and 5,587.04 is: 7,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.74 : 14,217.78 = 5,587.04 : x
  2. Step 2: Convert to fraction form
    10,302.74/14,217.78 = 5,587.04/x
  3. Step 3: Cross multiply
    10,302.74x = 14,217.78 × 5,587.04
  4. Step 4: Simplify right side
    10,302.74x = 79,435,305.57
  5. Step 5: Solve for x
    x = 79,435,305.57/10,302.74
  6. Step 6: Final answer
    x = 7,710.11

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