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Finding the Fourth Proportional to 8,277.32, 11,423.81 and 7,488.18

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Solution

The fourth proportional to 8,277.32, 11,423.81 and 7,488.18 is: 10,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.32 : 11,423.81 = 7,488.18 : x
  2. Step 2: Convert to fraction form
    8,277.32/11,423.81 = 7,488.18/x
  3. Step 3: Cross multiply
    8,277.32x = 11,423.81 × 7,488.18
  4. Step 4: Simplify right side
    8,277.32x = 85,543,564.29
  5. Step 5: Solve for x
    x = 85,543,564.29/8,277.32
  6. Step 6: Final answer
    x = 10,334.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.