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Finding the Fourth Proportional to 10,518.88, 15,774.24 and 3,498.64

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Solution

The fourth proportional to 10,518.88, 15,774.24 and 3,498.64 is: 5,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.88 : 15,774.24 = 3,498.64 : x
  2. Step 2: Convert to fraction form
    10,518.88/15,774.24 = 3,498.64/x
  3. Step 3: Cross multiply
    10,518.88x = 15,774.24 × 3,498.64
  4. Step 4: Simplify right side
    10,518.88x = 55,188,387.03
  5. Step 5: Solve for x
    x = 55,188,387.03/10,518.88
  6. Step 6: Final answer
    x = 5,246.60

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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.