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Finding the Fourth Proportional to 10,505.64, 15,753.60 and 4,663.92

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Solution

The fourth proportional to 10,505.64, 15,753.60 and 4,663.92 is: 6,993.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.64 : 15,753.60 = 4,663.92 : x
  2. Step 2: Convert to fraction form
    10,505.64/15,753.60 = 4,663.92/x
  3. Step 3: Cross multiply
    10,505.64x = 15,753.60 × 4,663.92
  4. Step 4: Simplify right side
    10,505.64x = 73,473,530.11
  5. Step 5: Solve for x
    x = 73,473,530.11/10,505.64
  6. Step 6: Final answer
    x = 6,993.72

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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.