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Finding the Fourth Proportional to 10,654.51, 15,984.07 and 4,080.69

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Solution

The fourth proportional to 10,654.51, 15,984.07 and 4,080.69 is: 6,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.51 : 15,984.07 = 4,080.69 : x
  2. Step 2: Convert to fraction form
    10,654.51/15,984.07 = 4,080.69/x
  3. Step 3: Cross multiply
    10,654.51x = 15,984.07 × 4,080.69
  4. Step 4: Simplify right side
    10,654.51x = 65,226,038.28
  5. Step 5: Solve for x
    x = 65,226,038.28/10,654.51
  6. Step 6: Final answer
    x = 6,121.92

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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.