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Finding the Fourth Proportional to 11,574.32, 17,357.88 and 4,177.82

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Solution

The fourth proportional to 11,574.32, 17,357.88 and 4,177.82 is: 6,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.32 : 17,357.88 = 4,177.82 : x
  2. Step 2: Convert to fraction form
    11,574.32/17,357.88 = 4,177.82/x
  3. Step 3: Cross multiply
    11,574.32x = 17,357.88 × 4,177.82
  4. Step 4: Simplify right side
    11,574.32x = 72,518,098.22
  5. Step 5: Solve for x
    x = 72,518,098.22/11,574.32
  6. Step 6: Final answer
    x = 6,265.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.