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Finding the Fourth Proportional to 10,859.52, 16,291.20 and 4,704

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Solution

The fourth proportional to 10,859.52, 16,291.20 and 4,704 is: 7,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.52 : 16,291.20 = 4,704 : x
  2. Step 2: Convert to fraction form
    10,859.52/16,291.20 = 4,704/x
  3. Step 3: Cross multiply
    10,859.52x = 16,291.20 × 4,704
  4. Step 4: Simplify right side
    10,859.52x = 76,633,804.80
  5. Step 5: Solve for x
    x = 76,633,804.80/10,859.52
  6. Step 6: Final answer
    x = 7,056.83

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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.