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Finding the Fourth Proportional to 7,970.29, 10,998.96 and 4,433.50

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Solution

The fourth proportional to 7,970.29, 10,998.96 and 4,433.50 is: 6,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.29 : 10,998.96 = 4,433.50 : x
  2. Step 2: Convert to fraction form
    7,970.29/10,998.96 = 4,433.50/x
  3. Step 3: Cross multiply
    7,970.29x = 10,998.96 × 4,433.50
  4. Step 4: Simplify right side
    7,970.29x = 48,763,834.17
  5. Step 5: Solve for x
    x = 48,763,834.17/7,970.29
  6. Step 6: Final answer
    x = 6,118.20

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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.