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Finding the Fourth Proportional to 12,565.04, 17,337.78 and 7,258.95

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Solution

The fourth proportional to 12,565.04, 17,337.78 and 7,258.95 is: 10,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.04 : 17,337.78 = 7,258.95 : x
  2. Step 2: Convert to fraction form
    12,565.04/17,337.78 = 7,258.95/x
  3. Step 3: Cross multiply
    12,565.04x = 17,337.78 × 7,258.95
  4. Step 4: Simplify right side
    12,565.04x = 125,854,078.13
  5. Step 5: Solve for x
    x = 125,854,078.13/12,565.04
  6. Step 6: Final answer
    x = 10,016.21

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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.