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Finding the Fourth Proportional to 8,253.64, 11,395.38 and 5,460.76

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Solution

The fourth proportional to 8,253.64, 11,395.38 and 5,460.76 is: 7,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.64 : 11,395.38 = 5,460.76 : x
  2. Step 2: Convert to fraction form
    8,253.64/11,395.38 = 5,460.76/x
  3. Step 3: Cross multiply
    8,253.64x = 11,395.38 × 5,460.76
  4. Step 4: Simplify right side
    8,253.64x = 62,227,435.29
  5. Step 5: Solve for x
    x = 62,227,435.29/8,253.64
  6. Step 6: Final answer
    x = 7,539.39

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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.