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Finding the Fourth Proportional to 12,957.14, 17,879.18 and 7,291.74

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Solution

The fourth proportional to 12,957.14, 17,879.18 and 7,291.74 is: 10,061.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.14 : 17,879.18 = 7,291.74 : x
  2. Step 2: Convert to fraction form
    12,957.14/17,879.18 = 7,291.74/x
  3. Step 3: Cross multiply
    12,957.14x = 17,879.18 × 7,291.74
  4. Step 4: Simplify right side
    12,957.14x = 130,370,331.97
  5. Step 5: Solve for x
    x = 130,370,331.97/12,957.14
  6. Step 6: Final answer
    x = 10,061.66

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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.