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Finding the Fourth Proportional to 10,470.71, 14,449.54 and 5,994.54

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Solution

The fourth proportional to 10,470.71, 14,449.54 and 5,994.54 is: 8,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.71 : 14,449.54 = 5,994.54 : x
  2. Step 2: Convert to fraction form
    10,470.71/14,449.54 = 5,994.54/x
  3. Step 3: Cross multiply
    10,470.71x = 14,449.54 × 5,994.54
  4. Step 4: Simplify right side
    10,470.71x = 86,618,345.51
  5. Step 5: Solve for x
    x = 86,618,345.51/10,470.71
  6. Step 6: Final answer
    x = 8,272.44

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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.