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Finding the Fourth Proportional to 10,953.65, 15,122.97 and 8,431.02

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Solution

The fourth proportional to 10,953.65, 15,122.97 and 8,431.02 is: 11,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.65 : 15,122.97 = 8,431.02 : x
  2. Step 2: Convert to fraction form
    10,953.65/15,122.97 = 8,431.02/x
  3. Step 3: Cross multiply
    10,953.65x = 15,122.97 × 8,431.02
  4. Step 4: Simplify right side
    10,953.65x = 127,502,062.53
  5. Step 5: Solve for x
    x = 127,502,062.53/10,953.65
  6. Step 6: Final answer
    x = 11,640.14

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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.