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Finding the Fourth Proportional to 7,447.84, 10,278.33 and 4,463.11

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Solution

The fourth proportional to 7,447.84, 10,278.33 and 4,463.11 is: 6,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.84 : 10,278.33 = 4,463.11 : x
  2. Step 2: Convert to fraction form
    7,447.84/10,278.33 = 4,463.11/x
  3. Step 3: Cross multiply
    7,447.84x = 10,278.33 × 4,463.11
  4. Step 4: Simplify right side
    7,447.84x = 45,873,317.41
  5. Step 5: Solve for x
    x = 45,873,317.41/7,447.84
  6. Step 6: Final answer
    x = 6,159.28

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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.