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Finding the Fourth Proportional to 6,705.20, 10,018.11 and 6,475.52

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Solution

The fourth proportional to 6,705.20, 10,018.11 and 6,475.52 is: 9,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.20 : 10,018.11 = 6,475.52 : x
  2. Step 2: Convert to fraction form
    6,705.20/10,018.11 = 6,475.52/x
  3. Step 3: Cross multiply
    6,705.20x = 10,018.11 × 6,475.52
  4. Step 4: Simplify right side
    6,705.20x = 64,872,471.67
  5. Step 5: Solve for x
    x = 64,872,471.67/6,705.20
  6. Step 6: Final answer
    x = 9,674.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.