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Finding the Fourth Proportional to 10,156.93, 15,229.23 and 6,642.69

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Solution

The fourth proportional to 10,156.93, 15,229.23 and 6,642.69 is: 9,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.93 : 15,229.23 = 6,642.69 : x
  2. Step 2: Convert to fraction form
    10,156.93/15,229.23 = 6,642.69/x
  3. Step 3: Cross multiply
    10,156.93x = 15,229.23 × 6,642.69
  4. Step 4: Simplify right side
    10,156.93x = 101,163,053.83
  5. Step 5: Solve for x
    x = 101,163,053.83/10,156.93
  6. Step 6: Final answer
    x = 9,960.00

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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.