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Finding the Fourth Proportional to 11,436.68, 15,782.87 and 8,085.40

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Solution

The fourth proportional to 11,436.68, 15,782.87 and 8,085.40 is: 11,158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.68 : 15,782.87 = 8,085.40 : x
  2. Step 2: Convert to fraction form
    11,436.68/15,782.87 = 8,085.40/x
  3. Step 3: Cross multiply
    11,436.68x = 15,782.87 × 8,085.40
  4. Step 4: Simplify right side
    11,436.68x = 127,610,817.10
  5. Step 5: Solve for x
    x = 127,610,817.10/11,436.68
  6. Step 6: Final answer
    x = 11,158.03

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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.