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Finding the Fourth Proportional to 8,437.34, 12,656.42 and 2,594

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Solution

The fourth proportional to 8,437.34, 12,656.42 and 2,594 is: 3,891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.34 : 12,656.42 = 2,594 : x
  2. Step 2: Convert to fraction form
    8,437.34/12,656.42 = 2,594/x
  3. Step 3: Cross multiply
    8,437.34x = 12,656.42 × 2,594
  4. Step 4: Simplify right side
    8,437.34x = 32,830,753.48
  5. Step 5: Solve for x
    x = 32,830,753.48/8,437.34
  6. Step 6: Final answer
    x = 3,891.13

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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.