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Finding the Fourth Proportional to 7,932.22, 10,946.10 and 4,347.16

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Solution

The fourth proportional to 7,932.22, 10,946.10 and 4,347.16 is: 5,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.22 : 10,946.10 = 4,347.16 : x
  2. Step 2: Convert to fraction form
    7,932.22/10,946.10 = 4,347.16/x
  3. Step 3: Cross multiply
    7,932.22x = 10,946.10 × 4,347.16
  4. Step 4: Simplify right side
    7,932.22x = 47,584,448.08
  5. Step 5: Solve for x
    x = 47,584,448.08/7,932.22
  6. Step 6: Final answer
    x = 5,998.88

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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.