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Finding the Fourth Proportional to 8,277.60, 11,437.56 and 6,523.20

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Solution

The fourth proportional to 8,277.60, 11,437.56 and 6,523.20 is: 9,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.60 : 11,437.56 = 6,523.20 : x
  2. Step 2: Convert to fraction form
    8,277.60/11,437.56 = 6,523.20/x
  3. Step 3: Cross multiply
    8,277.60x = 11,437.56 × 6,523.20
  4. Step 4: Simplify right side
    8,277.60x = 74,609,491.39
  5. Step 5: Solve for x
    x = 74,609,491.39/8,277.60
  6. Step 6: Final answer
    x = 9,013.42

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Why These Related Problems?

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