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Finding the Fourth Proportional to 10,062.96, 15,098.04 and 5,133.84

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Solution

The fourth proportional to 10,062.96, 15,098.04 and 5,133.84 is: 7,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.96 : 15,098.04 = 5,133.84 : x
  2. Step 2: Convert to fraction form
    10,062.96/15,098.04 = 5,133.84/x
  3. Step 3: Cross multiply
    10,062.96x = 15,098.04 × 5,133.84
  4. Step 4: Simplify right side
    10,062.96x = 77,510,921.67
  5. Step 5: Solve for x
    x = 77,510,921.67/10,062.96
  6. Step 6: Final answer
    x = 7,702.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.