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Finding the Fourth Proportional to 10,224.24, 15,326.64 and 6,516.06

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Solution

The fourth proportional to 10,224.24, 15,326.64 and 6,516.06 is: 9,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.24 : 15,326.64 = 6,516.06 : x
  2. Step 2: Convert to fraction form
    10,224.24/15,326.64 = 6,516.06/x
  3. Step 3: Cross multiply
    10,224.24x = 15,326.64 × 6,516.06
  4. Step 4: Simplify right side
    10,224.24x = 99,869,305.84
  5. Step 5: Solve for x
    x = 99,869,305.84/10,224.24
  6. Step 6: Final answer
    x = 9,767.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.