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Finding the Fourth Proportional to 7,972.16, 11,957.28 and 4,642.28

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Solution

The fourth proportional to 7,972.16, 11,957.28 and 4,642.28 is: 6,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.16 : 11,957.28 = 4,642.28 : x
  2. Step 2: Convert to fraction form
    7,972.16/11,957.28 = 4,642.28/x
  3. Step 3: Cross multiply
    7,972.16x = 11,957.28 × 4,642.28
  4. Step 4: Simplify right side
    7,972.16x = 55,509,041.80
  5. Step 5: Solve for x
    x = 55,509,041.80/7,972.16
  6. Step 6: Final answer
    x = 6,962.86

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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.