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Finding the Fourth Proportional to 10,281.81, 15,399.30 and 8,046.70

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Solution

The fourth proportional to 10,281.81, 15,399.30 and 8,046.70 is: 12,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.81 : 15,399.30 = 8,046.70 : x
  2. Step 2: Convert to fraction form
    10,281.81/15,399.30 = 8,046.70/x
  3. Step 3: Cross multiply
    10,281.81x = 15,399.30 × 8,046.70
  4. Step 4: Simplify right side
    10,281.81x = 123,913,537.03
  5. Step 5: Solve for x
    x = 123,913,537.03/10,281.81
  6. Step 6: Final answer
    x = 12,051.72

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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.