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Finding the Fourth Proportional to 7,752.40, 11,631.28 and 4,246.16

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Solution

The fourth proportional to 7,752.40, 11,631.28 and 4,246.16 is: 6,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.40 : 11,631.28 = 4,246.16 : x
  2. Step 2: Convert to fraction form
    7,752.40/11,631.28 = 4,246.16/x
  3. Step 3: Cross multiply
    7,752.40x = 11,631.28 × 4,246.16
  4. Step 4: Simplify right side
    7,752.40x = 49,388,275.88
  5. Step 5: Solve for x
    x = 49,388,275.88/7,752.40
  6. Step 6: Final answer
    x = 6,370.71

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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.