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Finding the Fourth Proportional to 11,177.64, 15,425.28 and 6,462

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Solution

The fourth proportional to 11,177.64, 15,425.28 and 6,462 is: 8,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.64 : 15,425.28 = 6,462 : x
  2. Step 2: Convert to fraction form
    11,177.64/15,425.28 = 6,462/x
  3. Step 3: Cross multiply
    11,177.64x = 15,425.28 × 6,462
  4. Step 4: Simplify right side
    11,177.64x = 99,678,159.36
  5. Step 5: Solve for x
    x = 99,678,159.36/11,177.64
  6. Step 6: Final answer
    x = 8,917.64

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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.