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Finding the Fourth Proportional to 10,683.60, 16,025.40 and 7,184.40

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Solution

The fourth proportional to 10,683.60, 16,025.40 and 7,184.40 is: 10,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.60 : 16,025.40 = 7,184.40 : x
  2. Step 2: Convert to fraction form
    10,683.60/16,025.40 = 7,184.40/x
  3. Step 3: Cross multiply
    10,683.60x = 16,025.40 × 7,184.40
  4. Step 4: Simplify right side
    10,683.60x = 115,132,883.76
  5. Step 5: Solve for x
    x = 115,132,883.76/10,683.60
  6. Step 6: Final answer
    x = 10,776.60

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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.