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Finding the Fourth Proportional to 11,547.48, 15,935.54 and 6,242.30

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Solution

The fourth proportional to 11,547.48, 15,935.54 and 6,242.30 is: 8,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.48 : 15,935.54 = 6,242.30 : x
  2. Step 2: Convert to fraction form
    11,547.48/15,935.54 = 6,242.30/x
  3. Step 3: Cross multiply
    11,547.48x = 15,935.54 × 6,242.30
  4. Step 4: Simplify right side
    11,547.48x = 99,474,310.45
  5. Step 5: Solve for x
    x = 99,474,310.45/11,547.48
  6. Step 6: Final answer
    x = 8,614.37

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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.