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Finding the Fourth Proportional to 10,496.80, 15,732.40 and 4,647.20

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Solution

The fourth proportional to 10,496.80, 15,732.40 and 4,647.20 is: 6,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.80 : 15,732.40 = 4,647.20 : x
  2. Step 2: Convert to fraction form
    10,496.80/15,732.40 = 4,647.20/x
  3. Step 3: Cross multiply
    10,496.80x = 15,732.40 × 4,647.20
  4. Step 4: Simplify right side
    10,496.80x = 73,111,609.28
  5. Step 5: Solve for x
    x = 73,111,609.28/10,496.80
  6. Step 6: Final answer
    x = 6,965.13

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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.