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Finding the Fourth Proportional to 10,045.35, 13,862.59 and 5,569.16

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Solution

The fourth proportional to 10,045.35, 13,862.59 and 5,569.16 is: 7,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.35 : 13,862.59 = 5,569.16 : x
  2. Step 2: Convert to fraction form
    10,045.35/13,862.59 = 5,569.16/x
  3. Step 3: Cross multiply
    10,045.35x = 13,862.59 × 5,569.16
  4. Step 4: Simplify right side
    10,045.35x = 77,202,898.49
  5. Step 5: Solve for x
    x = 77,202,898.49/10,045.35
  6. Step 6: Final answer
    x = 7,685.44

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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.