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Finding the Fourth Proportional to 10,494.08, 15,726.72 and 10,178.72

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Solution

The fourth proportional to 10,494.08, 15,726.72 and 10,178.72 is: 15,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.08 : 15,726.72 = 10,178.72 : x
  2. Step 2: Convert to fraction form
    10,494.08/15,726.72 = 10,178.72/x
  3. Step 3: Cross multiply
    10,494.08x = 15,726.72 × 10,178.72
  4. Step 4: Simplify right side
    10,494.08x = 160,077,879.40
  5. Step 5: Solve for x
    x = 160,077,879.40/10,494.08
  6. Step 6: Final answer
    x = 15,254.11

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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.