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Finding the Fourth Proportional to 10,486.52, 15,726.38 and 3,464.90

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Solution

The fourth proportional to 10,486.52, 15,726.38 and 3,464.90 is: 5,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.52 : 15,726.38 = 3,464.90 : x
  2. Step 2: Convert to fraction form
    10,486.52/15,726.38 = 3,464.90/x
  3. Step 3: Cross multiply
    10,486.52x = 15,726.38 × 3,464.90
  4. Step 4: Simplify right side
    10,486.52x = 54,490,238.11
  5. Step 5: Solve for x
    x = 54,490,238.11/10,486.52
  6. Step 6: Final answer
    x = 5,196.22

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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.