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Finding the Fourth Proportional to 11,758.60, 17,637.54 and 3,966.76

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Solution

The fourth proportional to 11,758.60, 17,637.54 and 3,966.76 is: 5,950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.60 : 17,637.54 = 3,966.76 : x
  2. Step 2: Convert to fraction form
    11,758.60/17,637.54 = 3,966.76/x
  3. Step 3: Cross multiply
    11,758.60x = 17,637.54 × 3,966.76
  4. Step 4: Simplify right side
    11,758.60x = 69,963,888.17
  5. Step 5: Solve for x
    x = 69,963,888.17/11,758.60
  6. Step 6: Final answer
    x = 5,950.02

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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.