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Finding the Fourth Proportional to 10,488.60, 15,735.18 and 3,470.76

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Solution

The fourth proportional to 10,488.60, 15,735.18 and 3,470.76 is: 5,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.60 : 15,735.18 = 3,470.76 : x
  2. Step 2: Convert to fraction form
    10,488.60/15,735.18 = 3,470.76/x
  3. Step 3: Cross multiply
    10,488.60x = 15,735.18 × 3,470.76
  4. Step 4: Simplify right side
    10,488.60x = 54,613,033.34
  5. Step 5: Solve for x
    x = 54,613,033.34/10,488.60
  6. Step 6: Final answer
    x = 5,206.89

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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.