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Finding the Fourth Proportional to 7,124.83, 10,686.91 and 4,785.82

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Solution

The fourth proportional to 7,124.83, 10,686.91 and 4,785.82 is: 7,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.83 : 10,686.91 = 4,785.82 : x
  2. Step 2: Convert to fraction form
    7,124.83/10,686.91 = 4,785.82/x
  3. Step 3: Cross multiply
    7,124.83x = 10,686.91 × 4,785.82
  4. Step 4: Simplify right side
    7,124.83x = 51,145,627.62
  5. Step 5: Solve for x
    x = 51,145,627.62/7,124.83
  6. Step 6: Final answer
    x = 7,178.50

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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.