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Finding the Fourth Proportional to 10,318.32, 14,239.20 and 5,842

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Solution

The fourth proportional to 10,318.32, 14,239.20 and 5,842 is: 8,061.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.32 : 14,239.20 = 5,842 : x
  2. Step 2: Convert to fraction form
    10,318.32/14,239.20 = 5,842/x
  3. Step 3: Cross multiply
    10,318.32x = 14,239.20 × 5,842
  4. Step 4: Simplify right side
    10,318.32x = 83,185,406.40
  5. Step 5: Solve for x
    x = 83,185,406.40/10,318.32
  6. Step 6: Final answer
    x = 8,061.91

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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.