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Finding the Fourth Proportional to 8,683.53, 13,025.13 and 2,109.66

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Solution

The fourth proportional to 8,683.53, 13,025.13 and 2,109.66 is: 3,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.53 : 13,025.13 = 2,109.66 : x
  2. Step 2: Convert to fraction form
    8,683.53/13,025.13 = 2,109.66/x
  3. Step 3: Cross multiply
    8,683.53x = 13,025.13 × 2,109.66
  4. Step 4: Simplify right side
    8,683.53x = 27,478,595.76
  5. Step 5: Solve for x
    x = 27,478,595.76/8,683.53
  6. Step 6: Final answer
    x = 3,164.45

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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.