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Finding the Fourth Proportional to 8,902.64, 13,421.56 and 8,426.36

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Solution

The fourth proportional to 8,902.64, 13,421.56 and 8,426.36 is: 12,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.64 : 13,421.56 = 8,426.36 : x
  2. Step 2: Convert to fraction form
    8,902.64/13,421.56 = 8,426.36/x
  3. Step 3: Cross multiply
    8,902.64x = 13,421.56 × 8,426.36
  4. Step 4: Simplify right side
    8,902.64x = 113,094,896.32
  5. Step 5: Solve for x
    x = 113,094,896.32/8,902.64
  6. Step 6: Final answer
    x = 12,703.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.