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Finding the Fourth Proportional to 7,184.35, 10,778.32 and 5,709.15

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Solution

The fourth proportional to 7,184.35, 10,778.32 and 5,709.15 is: 8,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.35 : 10,778.32 = 5,709.15 : x
  2. Step 2: Convert to fraction form
    7,184.35/10,778.32 = 5,709.15/x
  3. Step 3: Cross multiply
    7,184.35x = 10,778.32 × 5,709.15
  4. Step 4: Simplify right side
    7,184.35x = 61,535,079.51
  5. Step 5: Solve for x
    x = 61,535,079.51/7,184.35
  6. Step 6: Final answer
    x = 8,565.15

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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.