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Finding the Fourth Proportional to 10,655.84, 14,705.07 and 6,180.46

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Solution

The fourth proportional to 10,655.84, 14,705.07 and 6,180.46 is: 8,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.84 : 14,705.07 = 6,180.46 : x
  2. Step 2: Convert to fraction form
    10,655.84/14,705.07 = 6,180.46/x
  3. Step 3: Cross multiply
    10,655.84x = 14,705.07 × 6,180.46
  4. Step 4: Simplify right side
    10,655.84x = 90,884,096.93
  5. Step 5: Solve for x
    x = 90,884,096.93/10,655.84
  6. Step 6: Final answer
    x = 8,529.04

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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.