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Finding the Fourth Proportional to 7,672.88, 11,509.46 and 2,407.77

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Solution

The fourth proportional to 7,672.88, 11,509.46 and 2,407.77 is: 3,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.88 : 11,509.46 = 2,407.77 : x
  2. Step 2: Convert to fraction form
    7,672.88/11,509.46 = 2,407.77/x
  3. Step 3: Cross multiply
    7,672.88x = 11,509.46 × 2,407.77
  4. Step 4: Simplify right side
    7,672.88x = 27,712,132.50
  5. Step 5: Solve for x
    x = 27,712,132.50/7,672.88
  6. Step 6: Final answer
    x = 3,611.70

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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.