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Finding the Fourth Proportional to 12,010.16, 16,572.93 and 6,704

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Solution

The fourth proportional to 12,010.16, 16,572.93 and 6,704 is: 9,250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010.16 : 16,572.93 = 6,704 : x
  2. Step 2: Convert to fraction form
    12,010.16/16,572.93 = 6,704/x
  3. Step 3: Cross multiply
    12,010.16x = 16,572.93 × 6,704
  4. Step 4: Simplify right side
    12,010.16x = 111,104,922.72
  5. Step 5: Solve for x
    x = 111,104,922.72/12,010.16
  6. Step 6: Final answer
    x = 9,250.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.