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Finding the Fourth Proportional to 12,754.38, 19,115.40 and 7,210.86

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Solution

The fourth proportional to 12,754.38, 19,115.40 and 7,210.86 is: 10,807.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.38 : 19,115.40 = 7,210.86 : x
  2. Step 2: Convert to fraction form
    12,754.38/19,115.40 = 7,210.86/x
  3. Step 3: Cross multiply
    12,754.38x = 19,115.40 × 7,210.86
  4. Step 4: Simplify right side
    12,754.38x = 137,838,473.24
  5. Step 5: Solve for x
    x = 137,838,473.24/12,754.38
  6. Step 6: Final answer
    x = 10,807.15

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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.