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Finding the Fourth Proportional to 7,547.92, 11,298.20 and 4,764.96

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Solution

The fourth proportional to 7,547.92, 11,298.20 and 4,764.96 is: 7,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.92 : 11,298.20 = 4,764.96 : x
  2. Step 2: Convert to fraction form
    7,547.92/11,298.20 = 4,764.96/x
  3. Step 3: Cross multiply
    7,547.92x = 11,298.20 × 4,764.96
  4. Step 4: Simplify right side
    7,547.92x = 53,835,471.07
  5. Step 5: Solve for x
    x = 53,835,471.07/7,547.92
  6. Step 6: Final answer
    x = 7,132.49

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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.