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Finding the Fourth Proportional to 7,460.96, 11,189.70 and 3,298.71

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Solution

The fourth proportional to 7,460.96, 11,189.70 and 3,298.71 is: 4,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.96 : 11,189.70 = 3,298.71 : x
  2. Step 2: Convert to fraction form
    7,460.96/11,189.70 = 3,298.71/x
  3. Step 3: Cross multiply
    7,460.96x = 11,189.70 × 3,298.71
  4. Step 4: Simplify right side
    7,460.96x = 36,911,575.29
  5. Step 5: Solve for x
    x = 36,911,575.29/7,460.96
  6. Step 6: Final answer
    x = 4,947.30

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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.