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Finding the Fourth Proportional to 10,358.31, 14,294.70 and 5,881.80

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Solution

The fourth proportional to 10,358.31, 14,294.70 and 5,881.80 is: 8,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.31 : 14,294.70 = 5,881.80 : x
  2. Step 2: Convert to fraction form
    10,358.31/14,294.70 = 5,881.80/x
  3. Step 3: Cross multiply
    10,358.31x = 14,294.70 × 5,881.80
  4. Step 4: Simplify right side
    10,358.31x = 84,078,566.46
  5. Step 5: Solve for x
    x = 84,078,566.46/10,358.31
  6. Step 6: Final answer
    x = 8,117.02

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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.