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Finding the Fourth Proportional to 6,683.90, 10,020.96 and 4,088.66

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Solution

The fourth proportional to 6,683.90, 10,020.96 and 4,088.66 is: 6,130.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.90 : 10,020.96 = 4,088.66 : x
  2. Step 2: Convert to fraction form
    6,683.90/10,020.96 = 4,088.66/x
  3. Step 3: Cross multiply
    6,683.90x = 10,020.96 × 4,088.66
  4. Step 4: Simplify right side
    6,683.90x = 40,972,248.21
  5. Step 5: Solve for x
    x = 40,972,248.21/6,683.90
  6. Step 6: Final answer
    x = 6,130.00

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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.