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Finding the Fourth Proportional to 7,683.40, 11,525.10 and 4,767.40

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Solution

The fourth proportional to 7,683.40, 11,525.10 and 4,767.40 is: 7,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.40 : 11,525.10 = 4,767.40 : x
  2. Step 2: Convert to fraction form
    7,683.40/11,525.10 = 4,767.40/x
  3. Step 3: Cross multiply
    7,683.40x = 11,525.10 × 4,767.40
  4. Step 4: Simplify right side
    7,683.40x = 54,944,761.74
  5. Step 5: Solve for x
    x = 54,944,761.74/7,683.40
  6. Step 6: Final answer
    x = 7,151.10

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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.