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Finding the Fourth Proportional to 10,298.52, 14,206.71 and 6,515.31

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Solution

The fourth proportional to 10,298.52, 14,206.71 and 6,515.31 is: 8,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.52 : 14,206.71 = 6,515.31 : x
  2. Step 2: Convert to fraction form
    10,298.52/14,206.71 = 6,515.31/x
  3. Step 3: Cross multiply
    10,298.52x = 14,206.71 × 6,515.31
  4. Step 4: Simplify right side
    10,298.52x = 92,561,119.73
  5. Step 5: Solve for x
    x = 92,561,119.73/10,298.52
  6. Step 6: Final answer
    x = 8,987.81

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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.