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Finding the Fourth Proportional to 10,080.71, 13,909.34 and 5,888.15

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Solution

The fourth proportional to 10,080.71, 13,909.34 and 5,888.15 is: 8,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.71 : 13,909.34 = 5,888.15 : x
  2. Step 2: Convert to fraction form
    10,080.71/13,909.34 = 5,888.15/x
  3. Step 3: Cross multiply
    10,080.71x = 13,909.34 × 5,888.15
  4. Step 4: Simplify right side
    10,080.71x = 81,900,225.49
  5. Step 5: Solve for x
    x = 81,900,225.49/10,080.71
  6. Step 6: Final answer
    x = 8,124.45

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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.