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Finding the Fourth Proportional to 7,527.74, 11,281.14 and 6,227.15

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Solution

The fourth proportional to 7,527.74, 11,281.14 and 6,227.15 is: 9,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.74 : 11,281.14 = 6,227.15 : x
  2. Step 2: Convert to fraction form
    7,527.74/11,281.14 = 6,227.15/x
  3. Step 3: Cross multiply
    7,527.74x = 11,281.14 × 6,227.15
  4. Step 4: Simplify right side
    7,527.74x = 70,249,294.55
  5. Step 5: Solve for x
    x = 70,249,294.55/7,527.74
  6. Step 6: Final answer
    x = 9,332.06

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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.