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Finding the Fourth Proportional to 10,214.16, 14,095.24 and 5,737.92

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Solution

The fourth proportional to 10,214.16, 14,095.24 and 5,737.92 is: 7,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.16 : 14,095.24 = 5,737.92 : x
  2. Step 2: Convert to fraction form
    10,214.16/14,095.24 = 5,737.92/x
  3. Step 3: Cross multiply
    10,214.16x = 14,095.24 × 5,737.92
  4. Step 4: Simplify right side
    10,214.16x = 80,877,359.50
  5. Step 5: Solve for x
    x = 80,877,359.50/10,214.16
  6. Step 6: Final answer
    x = 7,918.16

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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.