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Finding the Fourth Proportional to 10,314.62, 15,473.64 and 3,387.50

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Solution

The fourth proportional to 10,314.62, 15,473.64 and 3,387.50 is: 5,081.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.62 : 15,473.64 = 3,387.50 : x
  2. Step 2: Convert to fraction form
    10,314.62/15,473.64 = 3,387.50/x
  3. Step 3: Cross multiply
    10,314.62x = 15,473.64 × 3,387.50
  4. Step 4: Simplify right side
    10,314.62x = 52,416,955.50
  5. Step 5: Solve for x
    x = 52,416,955.50/10,314.62
  6. Step 6: Final answer
    x = 5,081.81

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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.