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Finding the Fourth Proportional to 10,471.50, 14,449.86 and 5,994.18

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Solution

The fourth proportional to 10,471.50, 14,449.86 and 5,994.18 is: 8,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.50 : 14,449.86 = 5,994.18 : x
  2. Step 2: Convert to fraction form
    10,471.50/14,449.86 = 5,994.18/x
  3. Step 3: Cross multiply
    10,471.50x = 14,449.86 × 5,994.18
  4. Step 4: Simplify right side
    10,471.50x = 86,615,061.81
  5. Step 5: Solve for x
    x = 86,615,061.81/10,471.50
  6. Step 6: Final answer
    x = 8,271.50

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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.