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Finding the Fourth Proportional to 11,254.71, 15,531.93 and 6,538.77

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Solution

The fourth proportional to 11,254.71, 15,531.93 and 6,538.77 is: 9,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,254.71 : 15,531.93 = 6,538.77 : x
  2. Step 2: Convert to fraction form
    11,254.71/15,531.93 = 6,538.77/x
  3. Step 3: Cross multiply
    11,254.71x = 15,531.93 × 6,538.77
  4. Step 4: Simplify right side
    11,254.71x = 101,559,717.93
  5. Step 5: Solve for x
    x = 101,559,717.93/11,254.71
  6. Step 6: Final answer
    x = 9,023.75

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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.