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Finding the Fourth Proportional to 10,381.16, 15,574.08 and 5,453.12

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Solution

The fourth proportional to 10,381.16, 15,574.08 and 5,453.12 is: 8,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.16 : 15,574.08 = 5,453.12 : x
  2. Step 2: Convert to fraction form
    10,381.16/15,574.08 = 5,453.12/x
  3. Step 3: Cross multiply
    10,381.16x = 15,574.08 × 5,453.12
  4. Step 4: Simplify right side
    10,381.16x = 84,927,327.13
  5. Step 5: Solve for x
    x = 84,927,327.13/10,381.16
  6. Step 6: Final answer
    x = 8,180.91

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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.