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Finding the Fourth Proportional to 8,740, 12,061.86 and 5,381.98

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Solution

The fourth proportional to 8,740, 12,061.86 and 5,381.98 is: 7,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740 : 12,061.86 = 5,381.98 : x
  2. Step 2: Convert to fraction form
    8,740/12,061.86 = 5,381.98/x
  3. Step 3: Cross multiply
    8,740x = 12,061.86 × 5,381.98
  4. Step 4: Simplify right side
    8,740x = 64,916,689.28
  5. Step 5: Solve for x
    x = 64,916,689.28/8,740
  6. Step 6: Final answer
    x = 7,427.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.