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Finding the Fourth Proportional to 10,656.01, 15,984 and 2,864.82

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Solution

The fourth proportional to 10,656.01, 15,984 and 2,864.82 is: 4,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.01 : 15,984 = 2,864.82 : x
  2. Step 2: Convert to fraction form
    10,656.01/15,984 = 2,864.82/x
  3. Step 3: Cross multiply
    10,656.01x = 15,984 × 2,864.82
  4. Step 4: Simplify right side
    10,656.01x = 45,791,282.88
  5. Step 5: Solve for x
    x = 45,791,282.88/10,656.01
  6. Step 6: Final answer
    x = 4,297.23

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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.