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Finding the Fourth Proportional to 10,557.12, 14,569.02 and 5,841.84

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Solution

The fourth proportional to 10,557.12, 14,569.02 and 5,841.84 is: 8,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.12 : 14,569.02 = 5,841.84 : x
  2. Step 2: Convert to fraction form
    10,557.12/14,569.02 = 5,841.84/x
  3. Step 3: Cross multiply
    10,557.12x = 14,569.02 × 5,841.84
  4. Step 4: Simplify right side
    10,557.12x = 85,109,883.80
  5. Step 5: Solve for x
    x = 85,109,883.80/10,557.12
  6. Step 6: Final answer
    x = 8,061.85

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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.