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Finding the Fourth Proportional to 10,391.48, 15,584.78 and 5,124.06

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Solution

The fourth proportional to 10,391.48, 15,584.78 and 5,124.06 is: 7,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.48 : 15,584.78 = 5,124.06 : x
  2. Step 2: Convert to fraction form
    10,391.48/15,584.78 = 5,124.06/x
  3. Step 3: Cross multiply
    10,391.48x = 15,584.78 × 5,124.06
  4. Step 4: Simplify right side
    10,391.48x = 79,857,347.81
  5. Step 5: Solve for x
    x = 79,857,347.81/10,391.48
  6. Step 6: Final answer
    x = 7,684.89

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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.