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Finding the Fourth Proportional to 10,738.84, 14,809.98 and 8,471.56

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Solution

The fourth proportional to 10,738.84, 14,809.98 and 8,471.56 is: 11,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.84 : 14,809.98 = 8,471.56 : x
  2. Step 2: Convert to fraction form
    10,738.84/14,809.98 = 8,471.56/x
  3. Step 3: Cross multiply
    10,738.84x = 14,809.98 × 8,471.56
  4. Step 4: Simplify right side
    10,738.84x = 125,463,634.17
  5. Step 5: Solve for x
    x = 125,463,634.17/10,738.84
  6. Step 6: Final answer
    x = 11,683.16

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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.