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Finding the Fourth Proportional to 6,737.60, 10,106.40 and 5,668.40

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Solution

The fourth proportional to 6,737.60, 10,106.40 and 5,668.40 is: 8,502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.60 : 10,106.40 = 5,668.40 : x
  2. Step 2: Convert to fraction form
    6,737.60/10,106.40 = 5,668.40/x
  3. Step 3: Cross multiply
    6,737.60x = 10,106.40 × 5,668.40
  4. Step 4: Simplify right side
    6,737.60x = 57,287,117.76
  5. Step 5: Solve for x
    x = 57,287,117.76/6,737.60
  6. Step 6: Final answer
    x = 8,502.60

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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.