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Finding the Fourth Proportional to 10,079.31, 15,042.74 and 9,816.87

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Solution

The fourth proportional to 10,079.31, 15,042.74 and 9,816.87 is: 14,651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.31 : 15,042.74 = 9,816.87 : x
  2. Step 2: Convert to fraction form
    10,079.31/15,042.74 = 9,816.87/x
  3. Step 3: Cross multiply
    10,079.31x = 15,042.74 × 9,816.87
  4. Step 4: Simplify right side
    10,079.31x = 147,672,623.02
  5. Step 5: Solve for x
    x = 147,672,623.02/10,079.31
  6. Step 6: Final answer
    x = 14,651.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.