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Finding the Fourth Proportional to 6,709.60, 10,064.40 and 5,152.60

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Solution

The fourth proportional to 6,709.60, 10,064.40 and 5,152.60 is: 7,728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.60 : 10,064.40 = 5,152.60 : x
  2. Step 2: Convert to fraction form
    6,709.60/10,064.40 = 5,152.60/x
  3. Step 3: Cross multiply
    6,709.60x = 10,064.40 × 5,152.60
  4. Step 4: Simplify right side
    6,709.60x = 51,857,827.44
  5. Step 5: Solve for x
    x = 51,857,827.44/6,709.60
  6. Step 6: Final answer
    x = 7,728.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.