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Finding the Fourth Proportional to 10,071.84, 13,899.14 and 6,096.06

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Solution

The fourth proportional to 10,071.84, 13,899.14 and 6,096.06 is: 8,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.84 : 13,899.14 = 6,096.06 : x
  2. Step 2: Convert to fraction form
    10,071.84/13,899.14 = 6,096.06/x
  3. Step 3: Cross multiply
    10,071.84x = 13,899.14 × 6,096.06
  4. Step 4: Simplify right side
    10,071.84x = 84,730,018.06
  5. Step 5: Solve for x
    x = 84,730,018.06/10,071.84
  6. Step 6: Final answer
    x = 8,412.56

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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.