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Finding the Fourth Proportional to 11,547.67, 15,935.81 and 6,242.49

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Solution

The fourth proportional to 11,547.67, 15,935.81 and 6,242.49 is: 8,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.67 : 15,935.81 = 6,242.49 : x
  2. Step 2: Convert to fraction form
    11,547.67/15,935.81 = 6,242.49/x
  3. Step 3: Cross multiply
    11,547.67x = 15,935.81 × 6,242.49
  4. Step 4: Simplify right side
    11,547.67x = 99,479,031.48
  5. Step 5: Solve for x
    x = 99,479,031.48/11,547.67
  6. Step 6: Final answer
    x = 8,614.64

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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.