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Finding the Fourth Proportional to 10,477.35, 15,716.22 and 8,387.66

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Solution

The fourth proportional to 10,477.35, 15,716.22 and 8,387.66 is: 12,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.35 : 15,716.22 = 8,387.66 : x
  2. Step 2: Convert to fraction form
    10,477.35/15,716.22 = 8,387.66/x
  3. Step 3: Cross multiply
    10,477.35x = 15,716.22 × 8,387.66
  4. Step 4: Simplify right side
    10,477.35x = 131,822,231.26
  5. Step 5: Solve for x
    x = 131,822,231.26/10,477.35
  6. Step 6: Final answer
    x = 12,581.64

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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.