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Finding the Fourth Proportional to 10,865.44, 16,298.16 and 4,708

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Solution

The fourth proportional to 10,865.44, 16,298.16 and 4,708 is: 7,062

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.44 : 16,298.16 = 4,708 : x
  2. Step 2: Convert to fraction form
    10,865.44/16,298.16 = 4,708/x
  3. Step 3: Cross multiply
    10,865.44x = 16,298.16 × 4,708
  4. Step 4: Simplify right side
    10,865.44x = 76,731,737.28
  5. Step 5: Solve for x
    x = 76,731,737.28/10,865.44
  6. Step 6: Final answer
    x = 7,062

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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.