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Finding the Fourth Proportional to 8,671.02, 13,035.53 and 6,844.16

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Solution

The fourth proportional to 8,671.02, 13,035.53 and 6,844.16 is: 10,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.02 : 13,035.53 = 6,844.16 : x
  2. Step 2: Convert to fraction form
    8,671.02/13,035.53 = 6,844.16/x
  3. Step 3: Cross multiply
    8,671.02x = 13,035.53 × 6,844.16
  4. Step 4: Simplify right side
    8,671.02x = 89,217,153.61
  5. Step 5: Solve for x
    x = 89,217,153.61/8,671.02
  6. Step 6: Final answer
    x = 10,289.12

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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.