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Finding the Fourth Proportional to 10,301.65, 14,215.69 and 6,052.05

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Solution

The fourth proportional to 10,301.65, 14,215.69 and 6,052.05 is: 8,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.65 : 14,215.69 = 6,052.05 : x
  2. Step 2: Convert to fraction form
    10,301.65/14,215.69 = 6,052.05/x
  3. Step 3: Cross multiply
    10,301.65x = 14,215.69 × 6,052.05
  4. Step 4: Simplify right side
    10,301.65x = 86,034,066.66
  5. Step 5: Solve for x
    x = 86,034,066.66/10,301.65
  6. Step 6: Final answer
    x = 8,351.48

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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.