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Finding the Fourth Proportional to 8,461.64, 12,697.02 and 3,534.66

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Solution

The fourth proportional to 8,461.64, 12,697.02 and 3,534.66 is: 5,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.64 : 12,697.02 = 3,534.66 : x
  2. Step 2: Convert to fraction form
    8,461.64/12,697.02 = 3,534.66/x
  3. Step 3: Cross multiply
    8,461.64x = 12,697.02 × 3,534.66
  4. Step 4: Simplify right side
    8,461.64x = 44,879,648.71
  5. Step 5: Solve for x
    x = 44,879,648.71/8,461.64
  6. Step 6: Final answer
    x = 5,303.89

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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.