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Finding the Fourth Proportional to 10,642.17, 15,962.16 and 4,719.17

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Solution

The fourth proportional to 10,642.17, 15,962.16 and 4,719.17 is: 7,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.17 : 15,962.16 = 4,719.17 : x
  2. Step 2: Convert to fraction form
    10,642.17/15,962.16 = 4,719.17/x
  3. Step 3: Cross multiply
    10,642.17x = 15,962.16 × 4,719.17
  4. Step 4: Simplify right side
    10,642.17x = 75,328,066.80
  5. Step 5: Solve for x
    x = 75,328,066.80/10,642.17
  6. Step 6: Final answer
    x = 7,078.26

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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.