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Finding the Fourth Proportional to 7,655.28, 10,564.08 and 4,469.28

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Solution

The fourth proportional to 7,655.28, 10,564.08 and 4,469.28 is: 6,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.28 : 10,564.08 = 4,469.28 : x
  2. Step 2: Convert to fraction form
    7,655.28/10,564.08 = 4,469.28/x
  3. Step 3: Cross multiply
    7,655.28x = 10,564.08 × 4,469.28
  4. Step 4: Simplify right side
    7,655.28x = 47,213,831.46
  5. Step 5: Solve for x
    x = 47,213,831.46/7,655.28
  6. Step 6: Final answer
    x = 6,167.49

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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.