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Finding the Fourth Proportional to 11,702.55, 17,561.24 and 8,534.07

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Solution

The fourth proportional to 11,702.55, 17,561.24 and 8,534.07 is: 12,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.55 : 17,561.24 = 8,534.07 : x
  2. Step 2: Convert to fraction form
    11,702.55/17,561.24 = 8,534.07/x
  3. Step 3: Cross multiply
    11,702.55x = 17,561.24 × 8,534.07
  4. Step 4: Simplify right side
    11,702.55x = 149,868,808.78
  5. Step 5: Solve for x
    x = 149,868,808.78/11,702.55
  6. Step 6: Final answer
    x = 12,806.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.