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Finding the Fourth Proportional to 10,548.29, 15,830.22 and 5,001.65

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Solution

The fourth proportional to 10,548.29, 15,830.22 and 5,001.65 is: 7,506.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.29 : 15,830.22 = 5,001.65 : x
  2. Step 2: Convert to fraction form
    10,548.29/15,830.22 = 5,001.65/x
  3. Step 3: Cross multiply
    10,548.29x = 15,830.22 × 5,001.65
  4. Step 4: Simplify right side
    10,548.29x = 79,177,218.83
  5. Step 5: Solve for x
    x = 79,177,218.83/10,548.29
  6. Step 6: Final answer
    x = 7,506.16

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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.