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Finding the Fourth Proportional to 7,772.02, 11,655.51 and 2,576.50

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Solution

The fourth proportional to 7,772.02, 11,655.51 and 2,576.50 is: 3,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.02 : 11,655.51 = 2,576.50 : x
  2. Step 2: Convert to fraction form
    7,772.02/11,655.51 = 2,576.50/x
  3. Step 3: Cross multiply
    7,772.02x = 11,655.51 × 2,576.50
  4. Step 4: Simplify right side
    7,772.02x = 30,030,421.52
  5. Step 5: Solve for x
    x = 30,030,421.52/7,772.02
  6. Step 6: Final answer
    x = 3,863.91

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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.