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Finding the Fourth Proportional to 10,565.35, 15,848.01 and 3,169.80

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Solution

The fourth proportional to 10,565.35, 15,848.01 and 3,169.80 is: 4,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.35 : 15,848.01 = 3,169.80 : x
  2. Step 2: Convert to fraction form
    10,565.35/15,848.01 = 3,169.80/x
  3. Step 3: Cross multiply
    10,565.35x = 15,848.01 × 3,169.80
  4. Step 4: Simplify right side
    10,565.35x = 50,235,022.10
  5. Step 5: Solve for x
    x = 50,235,022.10/10,565.35
  6. Step 6: Final answer
    x = 4,754.70

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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.