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Finding the Fourth Proportional to 10,708.58, 16,064.82 and 4,465.50

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Solution

The fourth proportional to 10,708.58, 16,064.82 and 4,465.50 is: 6,699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.58 : 16,064.82 = 4,465.50 : x
  2. Step 2: Convert to fraction form
    10,708.58/16,064.82 = 4,465.50/x
  3. Step 3: Cross multiply
    10,708.58x = 16,064.82 × 4,465.50
  4. Step 4: Simplify right side
    10,708.58x = 71,737,453.71
  5. Step 5: Solve for x
    x = 71,737,453.71/10,708.58
  6. Step 6: Final answer
    x = 6,699.06

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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.