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Finding the Fourth Proportional to 10,965, 15,134.40 and 6,715.29

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Solution

The fourth proportional to 10,965, 15,134.40 and 6,715.29 is: 9,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965 : 15,134.40 = 6,715.29 : x
  2. Step 2: Convert to fraction form
    10,965/15,134.40 = 6,715.29/x
  3. Step 3: Cross multiply
    10,965x = 15,134.40 × 6,715.29
  4. Step 4: Simplify right side
    10,965x = 101,631,884.98
  5. Step 5: Solve for x
    x = 101,631,884.98/10,965
  6. Step 6: Final answer
    x = 9,268.75

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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.