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Finding the Fourth Proportional to 10,432, 14,396.16 and 6,016

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Solution

The fourth proportional to 10,432, 14,396.16 and 6,016 is: 8,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432 : 14,396.16 = 6,016 : x
  2. Step 2: Convert to fraction form
    10,432/14,396.16 = 6,016/x
  3. Step 3: Cross multiply
    10,432x = 14,396.16 × 6,016
  4. Step 4: Simplify right side
    10,432x = 86,607,298.56
  5. Step 5: Solve for x
    x = 86,607,298.56/10,432
  6. Step 6: Final answer
    x = 8,302.08

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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.