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Finding the Fourth Proportional to 8,676.42, 12,973.32 and 6,700.02

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Solution

The fourth proportional to 8,676.42, 12,973.32 and 6,700.02 is: 10,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.42 : 12,973.32 = 6,700.02 : x
  2. Step 2: Convert to fraction form
    8,676.42/12,973.32 = 6,700.02/x
  3. Step 3: Cross multiply
    8,676.42x = 12,973.32 × 6,700.02
  4. Step 4: Simplify right side
    8,676.42x = 86,921,503.47
  5. Step 5: Solve for x
    x = 86,921,503.47/8,676.42
  6. Step 6: Final answer
    x = 10,018.13

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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.