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Finding the Fourth Proportional to 7,352.14, 11,009.08 and 5,778.42

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Solution

The fourth proportional to 7,352.14, 11,009.08 and 5,778.42 is: 8,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.14 : 11,009.08 = 5,778.42 : x
  2. Step 2: Convert to fraction form
    7,352.14/11,009.08 = 5,778.42/x
  3. Step 3: Cross multiply
    7,352.14x = 11,009.08 × 5,778.42
  4. Step 4: Simplify right side
    7,352.14x = 63,615,088.05
  5. Step 5: Solve for x
    x = 63,615,088.05/7,352.14
  6. Step 6: Final answer
    x = 8,652.59

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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.