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Finding the Fourth Proportional to 10,318.35, 14,239.17 and 5,841.98

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Solution

The fourth proportional to 10,318.35, 14,239.17 and 5,841.98 is: 8,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.35 : 14,239.17 = 5,841.98 : x
  2. Step 2: Convert to fraction form
    10,318.35/14,239.17 = 5,841.98/x
  3. Step 3: Cross multiply
    10,318.35x = 14,239.17 × 5,841.98
  4. Step 4: Simplify right side
    10,318.35x = 83,184,946.36
  5. Step 5: Solve for x
    x = 83,184,946.36/10,318.35
  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.