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Finding the Fourth Proportional to 10,165.67, 14,030.11 and 5,857.93

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Solution

The fourth proportional to 10,165.67, 14,030.11 and 5,857.93 is: 8,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.67 : 14,030.11 = 5,857.93 : x
  2. Step 2: Convert to fraction form
    10,165.67/14,030.11 = 5,857.93/x
  3. Step 3: Cross multiply
    10,165.67x = 14,030.11 × 5,857.93
  4. Step 4: Simplify right side
    10,165.67x = 82,187,387.63
  5. Step 5: Solve for x
    x = 82,187,387.63/10,165.67
  6. Step 6: Final answer
    x = 8,084.80

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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.