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Finding the Fourth Proportional to 7,016.16, 9,682.56 and 4,532.16

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Solution

The fourth proportional to 7,016.16, 9,682.56 and 4,532.16 is: 6,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.16 : 9,682.56 = 4,532.16 : x
  2. Step 2: Convert to fraction form
    7,016.16/9,682.56 = 4,532.16/x
  3. Step 3: Cross multiply
    7,016.16x = 9,682.56 × 4,532.16
  4. Step 4: Simplify right side
    7,016.16x = 43,882,911.13
  5. Step 5: Solve for x
    x = 43,882,911.13/7,016.16
  6. Step 6: Final answer
    x = 6,254.55

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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.