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Finding the Fourth Proportional to 12,957.12, 17,878.98 and 7,291.08

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Solution

The fourth proportional to 12,957.12, 17,878.98 and 7,291.08 is: 10,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.12 : 17,878.98 = 7,291.08 : x
  2. Step 2: Convert to fraction form
    12,957.12/17,878.98 = 7,291.08/x
  3. Step 3: Cross multiply
    12,957.12x = 17,878.98 × 7,291.08
  4. Step 4: Simplify right side
    12,957.12x = 130,357,073.50
  5. Step 5: Solve for x
    x = 130,357,073.50/12,957.12
  6. Step 6: Final answer
    x = 10,060.65

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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.