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Finding the Fourth Proportional to 10,870.91, 16,306.47 and 3,475.20

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Solution

The fourth proportional to 10,870.91, 16,306.47 and 3,475.20 is: 5,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.91 : 16,306.47 = 3,475.20 : x
  2. Step 2: Convert to fraction form
    10,870.91/16,306.47 = 3,475.20/x
  3. Step 3: Cross multiply
    10,870.91x = 16,306.47 × 3,475.20
  4. Step 4: Simplify right side
    10,870.91x = 56,668,244.54
  5. Step 5: Solve for x
    x = 56,668,244.54/10,870.91
  6. Step 6: Final answer
    x = 5,212.84

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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.