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Finding the Fourth Proportional to 10,066.75, 13,892.12 and 5,591.23

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Solution

The fourth proportional to 10,066.75, 13,892.12 and 5,591.23 is: 7,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.75 : 13,892.12 = 5,591.23 : x
  2. Step 2: Convert to fraction form
    10,066.75/13,892.12 = 5,591.23/x
  3. Step 3: Cross multiply
    10,066.75x = 13,892.12 × 5,591.23
  4. Step 4: Simplify right side
    10,066.75x = 77,674,038.11
  5. Step 5: Solve for x
    x = 77,674,038.11/10,066.75
  6. Step 6: Final answer
    x = 7,715.90

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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.