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Finding the Fourth Proportional to 10,347.35, 15,502.80 and 8,488.40

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Solution

The fourth proportional to 10,347.35, 15,502.80 and 8,488.40 is: 12,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.35 : 15,502.80 = 8,488.40 : x
  2. Step 2: Convert to fraction form
    10,347.35/15,502.80 = 8,488.40/x
  3. Step 3: Cross multiply
    10,347.35x = 15,502.80 × 8,488.40
  4. Step 4: Simplify right side
    10,347.35x = 131,593,967.52
  5. Step 5: Solve for x
    x = 131,593,967.52/10,347.35
  6. Step 6: Final answer
    x = 12,717.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.