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Finding the Fourth Proportional to 7,970.43, 10,998.12 and 4,432.96

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Solution

The fourth proportional to 7,970.43, 10,998.12 and 4,432.96 is: 6,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.43 : 10,998.12 = 4,432.96 : x
  2. Step 2: Convert to fraction form
    7,970.43/10,998.12 = 4,432.96/x
  3. Step 3: Cross multiply
    7,970.43x = 10,998.12 × 4,432.96
  4. Step 4: Simplify right side
    7,970.43x = 48,754,226.04
  5. Step 5: Solve for x
    x = 48,754,226.04/7,970.43
  6. Step 6: Final answer
    x = 6,116.89

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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.