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Finding the Fourth Proportional to 10,357.88, 14,294.16 and 5,881.35

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Solution

The fourth proportional to 10,357.88, 14,294.16 and 5,881.35 is: 8,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.88 : 14,294.16 = 5,881.35 : x
  2. Step 2: Convert to fraction form
    10,357.88/14,294.16 = 5,881.35/x
  3. Step 3: Cross multiply
    10,357.88x = 14,294.16 × 5,881.35
  4. Step 4: Simplify right side
    10,357.88x = 84,068,957.92
  5. Step 5: Solve for x
    x = 84,068,957.92/10,357.88
  6. Step 6: Final answer
    x = 8,116.42

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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.