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Finding the Fourth Proportional to 11,378.17, 15,703.77 and 8,402.60

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Solution

The fourth proportional to 11,378.17, 15,703.77 and 8,402.60 is: 11,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.17 : 15,703.77 = 8,402.60 : x
  2. Step 2: Convert to fraction form
    11,378.17/15,703.77 = 8,402.60/x
  3. Step 3: Cross multiply
    11,378.17x = 15,703.77 × 8,402.60
  4. Step 4: Simplify right side
    11,378.17x = 131,952,568.57
  5. Step 5: Solve for x
    x = 131,952,568.57/11,378.17
  6. Step 6: Final answer
    x = 11,596.99

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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.