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Finding the Fourth Proportional to 10,045.60, 13,863.04 and 5,569.46

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Solution

The fourth proportional to 10,045.60, 13,863.04 and 5,569.46 is: 7,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.60 : 13,863.04 = 5,569.46 : x
  2. Step 2: Convert to fraction form
    10,045.60/13,863.04 = 5,569.46/x
  3. Step 3: Cross multiply
    10,045.60x = 13,863.04 × 5,569.46
  4. Step 4: Simplify right side
    10,045.60x = 77,209,646.76
  5. Step 5: Solve for x
    x = 77,209,646.76/10,045.60
  6. Step 6: Final answer
    x = 7,685.92

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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.