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Finding the Fourth Proportional to 10,477.23, 15,716.04 and 8,387.53

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Solution

The fourth proportional to 10,477.23, 15,716.04 and 8,387.53 is: 12,581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.23 : 15,716.04 = 8,387.53 : x
  2. Step 2: Convert to fraction form
    10,477.23/15,716.04 = 8,387.53/x
  3. Step 3: Cross multiply
    10,477.23x = 15,716.04 × 8,387.53
  4. Step 4: Simplify right side
    10,477.23x = 131,818,756.98
  5. Step 5: Solve for x
    x = 131,818,756.98/10,477.23
  6. Step 6: Final answer
    x = 12,581.45

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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.