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Finding the Fourth Proportional to 10,872, 15,007.68 and 7,156.80

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Solution

The fourth proportional to 10,872, 15,007.68 and 7,156.80 is: 9,879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872 : 15,007.68 = 7,156.80 : x
  2. Step 2: Convert to fraction form
    10,872/15,007.68 = 7,156.80/x
  3. Step 3: Cross multiply
    10,872x = 15,007.68 × 7,156.80
  4. Step 4: Simplify right side
    10,872x = 107,406,964.22
  5. Step 5: Solve for x
    x = 107,406,964.22/10,872
  6. Step 6: Final answer
    x = 9,879.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.