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Finding the Fourth Proportional to 11,252.94, 15,532.19 and 6,538.13

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Solution

The fourth proportional to 11,252.94, 15,532.19 and 6,538.13 is: 9,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,252.94 : 15,532.19 = 6,538.13 : x
  2. Step 2: Convert to fraction form
    11,252.94/15,532.19 = 6,538.13/x
  3. Step 3: Cross multiply
    11,252.94x = 15,532.19 × 6,538.13
  4. Step 4: Simplify right side
    11,252.94x = 101,551,477.40
  5. Step 5: Solve for x
    x = 101,551,477.40/11,252.94
  6. Step 6: Final answer
    x = 9,024.44

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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.