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Finding the Fourth Proportional to 10,071.17, 13,892.06 and 5,980.20

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Solution

The fourth proportional to 10,071.17, 13,892.06 and 5,980.20 is: 8,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.17 : 13,892.06 = 5,980.20 : x
  2. Step 2: Convert to fraction form
    10,071.17/13,892.06 = 5,980.20/x
  3. Step 3: Cross multiply
    10,071.17x = 13,892.06 × 5,980.20
  4. Step 4: Simplify right side
    10,071.17x = 83,077,335.13
  5. Step 5: Solve for x
    x = 83,077,335.13/10,071.17
  6. Step 6: Final answer
    x = 8,249.02

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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.