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Finding the Fourth Proportional to 7,775.61, 11,665.70 and 2,510.51

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Solution

The fourth proportional to 7,775.61, 11,665.70 and 2,510.51 is: 3,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.61 : 11,665.70 = 2,510.51 : x
  2. Step 2: Convert to fraction form
    7,775.61/11,665.70 = 2,510.51/x
  3. Step 3: Cross multiply
    7,775.61x = 11,665.70 × 2,510.51
  4. Step 4: Simplify right side
    7,775.61x = 29,286,785.63
  5. Step 5: Solve for x
    x = 29,286,785.63/7,775.61
  6. Step 6: Final answer
    x = 3,766.49

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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.