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Finding the Fourth Proportional to 10,167.80, 14,030.43 and 5,690.93

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Solution

The fourth proportional to 10,167.80, 14,030.43 and 5,690.93 is: 7,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.80 : 14,030.43 = 5,690.93 : x
  2. Step 2: Convert to fraction form
    10,167.80/14,030.43 = 5,690.93/x
  3. Step 3: Cross multiply
    10,167.80x = 14,030.43 × 5,690.93
  4. Step 4: Simplify right side
    10,167.80x = 79,846,195.00
  5. Step 5: Solve for x
    x = 79,846,195.00/10,167.80
  6. Step 6: Final answer
    x = 7,852.85

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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.