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Finding the Fourth Proportional to 10,432.16, 14,396.12 and 5,716.16

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Solution

The fourth proportional to 10,432.16, 14,396.12 and 5,716.16 is: 7,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.16 : 14,396.12 = 5,716.16 : x
  2. Step 2: Convert to fraction form
    10,432.16/14,396.12 = 5,716.16/x
  3. Step 3: Cross multiply
    10,432.16x = 14,396.12 × 5,716.16
  4. Step 4: Simplify right side
    10,432.16x = 82,290,525.30
  5. Step 5: Solve for x
    x = 82,290,525.30/10,432.16
  6. Step 6: Final answer
    x = 7,888.16

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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.