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Finding the Fourth Proportional to 8,365.47, 11,549.35 and 5,225.91

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Solution

The fourth proportional to 8,365.47, 11,549.35 and 5,225.91 is: 7,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.47 : 11,549.35 = 5,225.91 : x
  2. Step 2: Convert to fraction form
    8,365.47/11,549.35 = 5,225.91/x
  3. Step 3: Cross multiply
    8,365.47x = 11,549.35 × 5,225.91
  4. Step 4: Simplify right side
    8,365.47x = 60,355,863.66
  5. Step 5: Solve for x
    x = 60,355,863.66/8,365.47
  6. Step 6: Final answer
    x = 7,214.88

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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.