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Finding the Fourth Proportional to 8,740.37, 13,043.36 and 7,806.17

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Solution

The fourth proportional to 8,740.37, 13,043.36 and 7,806.17 is: 11,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.37 : 13,043.36 = 7,806.17 : x
  2. Step 2: Convert to fraction form
    8,740.37/13,043.36 = 7,806.17/x
  3. Step 3: Cross multiply
    8,740.37x = 13,043.36 × 7,806.17
  4. Step 4: Simplify right side
    8,740.37x = 101,818,639.83
  5. Step 5: Solve for x
    x = 101,818,639.83/8,740.37
  6. Step 6: Final answer
    x = 11,649.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.