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Finding the Fourth Proportional to 10,302.30, 15,443.04 and 4,066.71

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Solution

The fourth proportional to 10,302.30, 15,443.04 and 4,066.71 is: 6,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.30 : 15,443.04 = 4,066.71 : x
  2. Step 2: Convert to fraction form
    10,302.30/15,443.04 = 4,066.71/x
  3. Step 3: Cross multiply
    10,302.30x = 15,443.04 × 4,066.71
  4. Step 4: Simplify right side
    10,302.30x = 62,802,365.20
  5. Step 5: Solve for x
    x = 62,802,365.20/10,302.30
  6. Step 6: Final answer
    x = 6,095.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.