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Finding the Fourth Proportional to 7,683.80, 11,496.62 and 4,565.48

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Solution

The fourth proportional to 7,683.80, 11,496.62 and 4,565.48 is: 6,830.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.80 : 11,496.62 = 4,565.48 : x
  2. Step 2: Convert to fraction form
    7,683.80/11,496.62 = 4,565.48/x
  3. Step 3: Cross multiply
    7,683.80x = 11,496.62 × 4,565.48
  4. Step 4: Simplify right side
    7,683.80x = 52,487,588.68
  5. Step 5: Solve for x
    x = 52,487,588.68/7,683.80
  6. Step 6: Final answer
    x = 6,830.94

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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.