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Finding the Fourth Proportional to 10,655.66, 14,705.48 and 6,180.82

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Solution

The fourth proportional to 10,655.66, 14,705.48 and 6,180.82 is: 8,529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.66 : 14,705.48 = 6,180.82 : x
  2. Step 2: Convert to fraction form
    10,655.66/14,705.48 = 6,180.82/x
  3. Step 3: Cross multiply
    10,655.66x = 14,705.48 × 6,180.82
  4. Step 4: Simplify right side
    10,655.66x = 90,891,924.89
  5. Step 5: Solve for x
    x = 90,891,924.89/10,655.66
  6. Step 6: Final answer
    x = 8,529.92

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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.