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Finding the Fourth Proportional to 11,572.32, 17,347.86 and 4,175.04

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Solution

The fourth proportional to 11,572.32, 17,347.86 and 4,175.04 is: 6,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.32 : 17,347.86 = 4,175.04 : x
  2. Step 2: Convert to fraction form
    11,572.32/17,347.86 = 4,175.04/x
  3. Step 3: Cross multiply
    11,572.32x = 17,347.86 × 4,175.04
  4. Step 4: Simplify right side
    11,572.32x = 72,428,009.41
  5. Step 5: Solve for x
    x = 72,428,009.41/11,572.32
  6. Step 6: Final answer
    x = 6,258.73

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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.