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Finding the Fourth Proportional to 10,442.85, 14,411.15 and 5,727.16

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Solution

The fourth proportional to 10,442.85, 14,411.15 and 5,727.16 is: 7,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.85 : 14,411.15 = 5,727.16 : x
  2. Step 2: Convert to fraction form
    10,442.85/14,411.15 = 5,727.16/x
  3. Step 3: Cross multiply
    10,442.85x = 14,411.15 × 5,727.16
  4. Step 4: Simplify right side
    10,442.85x = 82,534,961.83
  5. Step 5: Solve for x
    x = 82,534,961.83/10,442.85
  6. Step 6: Final answer
    x = 7,903.49

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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.