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Finding the Fourth Proportional to 8,697.12, 13,046.34 and 4,310.16

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Solution

The fourth proportional to 8,697.12, 13,046.34 and 4,310.16 is: 6,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.12 : 13,046.34 = 4,310.16 : x
  2. Step 2: Convert to fraction form
    8,697.12/13,046.34 = 4,310.16/x
  3. Step 3: Cross multiply
    8,697.12x = 13,046.34 × 4,310.16
  4. Step 4: Simplify right side
    8,697.12x = 56,231,812.81
  5. Step 5: Solve for x
    x = 56,231,812.81/8,697.12
  6. Step 6: Final answer
    x = 6,465.57

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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.