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Finding the Fourth Proportional to 10,291.51, 14,202.09 and 5,754.17

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Solution

The fourth proportional to 10,291.51, 14,202.09 and 5,754.17 is: 7,940.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.51 : 14,202.09 = 5,754.17 : x
  2. Step 2: Convert to fraction form
    10,291.51/14,202.09 = 5,754.17/x
  3. Step 3: Cross multiply
    10,291.51x = 14,202.09 × 5,754.17
  4. Step 4: Simplify right side
    10,291.51x = 81,721,275.72
  5. Step 5: Solve for x
    x = 81,721,275.72/10,291.51
  6. Step 6: Final answer
    x = 7,940.65

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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.