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Finding the Fourth Proportional to 10,432.36, 14,397 and 5,716.64

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Solution

The fourth proportional to 10,432.36, 14,397 and 5,716.64 is: 7,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.36 : 14,397 = 5,716.64 : x
  2. Step 2: Convert to fraction form
    10,432.36/14,397 = 5,716.64/x
  3. Step 3: Cross multiply
    10,432.36x = 14,397 × 5,716.64
  4. Step 4: Simplify right side
    10,432.36x = 82,302,466.08
  5. Step 5: Solve for x
    x = 82,302,466.08/10,432.36
  6. Step 6: Final answer
    x = 7,889.15

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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.