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Finding the Fourth Proportional to 11,541.71, 15,927.62 and 7,294.65

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Solution

The fourth proportional to 11,541.71, 15,927.62 and 7,294.65 is: 10,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,541.71 : 15,927.62 = 7,294.65 : x
  2. Step 2: Convert to fraction form
    11,541.71/15,927.62 = 7,294.65/x
  3. Step 3: Cross multiply
    11,541.71x = 15,927.62 × 7,294.65
  4. Step 4: Simplify right side
    11,541.71x = 116,186,433.63
  5. Step 5: Solve for x
    x = 116,186,433.63/11,541.71
  6. Step 6: Final answer
    x = 10,066.66

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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.