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Finding the Fourth Proportional to 10,165.74, 14,030.00 and 6,186.62

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Solution

The fourth proportional to 10,165.74, 14,030.00 and 6,186.62 is: 8,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.74 : 14,030.00 = 6,186.62 : x
  2. Step 2: Convert to fraction form
    10,165.74/14,030.00 = 6,186.62/x
  3. Step 3: Cross multiply
    10,165.74x = 14,030.00 × 6,186.62
  4. Step 4: Simplify right side
    10,165.74x = 86,798,177.52
  5. Step 5: Solve for x
    x = 86,798,177.52/10,165.74
  6. Step 6: Final answer
    x = 8,538.30

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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.