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Finding the Fourth Proportional to 10,914.13, 15,066.17 and 7,568.02

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Solution

The fourth proportional to 10,914.13, 15,066.17 and 7,568.02 is: 10,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.13 : 15,066.17 = 7,568.02 : x
  2. Step 2: Convert to fraction form
    10,914.13/15,066.17 = 7,568.02/x
  3. Step 3: Cross multiply
    10,914.13x = 15,066.17 × 7,568.02
  4. Step 4: Simplify right side
    10,914.13x = 114,021,075.88
  5. Step 5: Solve for x
    x = 114,021,075.88/10,914.13
  6. Step 6: Final answer
    x = 10,447.11

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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.