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Finding the Fourth Proportional to 8,538.29, 12,875.73 and 8,421.42

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Solution

The fourth proportional to 8,538.29, 12,875.73 and 8,421.42 is: 12,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.29 : 12,875.73 = 8,421.42 : x
  2. Step 2: Convert to fraction form
    8,538.29/12,875.73 = 8,421.42/x
  3. Step 3: Cross multiply
    8,538.29x = 12,875.73 × 8,421.42
  4. Step 4: Simplify right side
    8,538.29x = 108,431,945.47
  5. Step 5: Solve for x
    x = 108,431,945.47/8,538.29
  6. Step 6: Final answer
    x = 12,699.50

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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.