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Finding the Fourth Proportional to 10,020.47, 13,828.92 and 5,772.65

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Solution

The fourth proportional to 10,020.47, 13,828.92 and 5,772.65 is: 7,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.47 : 13,828.92 = 5,772.65 : x
  2. Step 2: Convert to fraction form
    10,020.47/13,828.92 = 5,772.65/x
  3. Step 3: Cross multiply
    10,020.47x = 13,828.92 × 5,772.65
  4. Step 4: Simplify right side
    10,020.47x = 79,829,445.89
  5. Step 5: Solve for x
    x = 79,829,445.89/10,020.47
  6. Step 6: Final answer
    x = 7,966.64

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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.