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Finding the Fourth Proportional to 10,470.68, 14,445.42 and 5,992.04

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Solution

The fourth proportional to 10,470.68, 14,445.42 and 5,992.04 is: 8,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.68 : 14,445.42 = 5,992.04 : x
  2. Step 2: Convert to fraction form
    10,470.68/14,445.42 = 5,992.04/x
  3. Step 3: Cross multiply
    10,470.68x = 14,445.42 × 5,992.04
  4. Step 4: Simplify right side
    10,470.68x = 86,557,462.23
  5. Step 5: Solve for x
    x = 86,557,462.23/10,470.68
  6. Step 6: Final answer
    x = 8,266.66

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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.