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Finding the Fourth Proportional to 7,970.28, 10,998.96 and 4,434.30

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Solution

The fourth proportional to 7,970.28, 10,998.96 and 4,434.30 is: 6,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.28 : 10,998.96 = 4,434.30 : x
  2. Step 2: Convert to fraction form
    7,970.28/10,998.96 = 4,434.30/x
  3. Step 3: Cross multiply
    7,970.28x = 10,998.96 × 4,434.30
  4. Step 4: Simplify right side
    7,970.28x = 48,772,688.33
  5. Step 5: Solve for x
    x = 48,772,688.33/7,970.28
  6. Step 6: Final answer
    x = 6,119.32

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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.