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Finding the Fourth Proportional to 10,166.67, 14,029.95 and 5,690.61

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Solution

The fourth proportional to 10,166.67, 14,029.95 and 5,690.61 is: 7,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.67 : 14,029.95 = 5,690.61 : x
  2. Step 2: Convert to fraction form
    10,166.67/14,029.95 = 5,690.61/x
  3. Step 3: Cross multiply
    10,166.67x = 14,029.95 × 5,690.61
  4. Step 4: Simplify right side
    10,166.67x = 79,838,973.77
  5. Step 5: Solve for x
    x = 79,838,973.77/10,166.67
  6. Step 6: Final answer
    x = 7,853.01

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