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Finding the Fourth Proportional to 10,226.94, 15,305.13 and 6,477.18

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Solution

The fourth proportional to 10,226.94, 15,305.13 and 6,477.18 is: 9,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.94 : 15,305.13 = 6,477.18 : x
  2. Step 2: Convert to fraction form
    10,226.94/15,305.13 = 6,477.18/x
  3. Step 3: Cross multiply
    10,226.94x = 15,305.13 × 6,477.18
  4. Step 4: Simplify right side
    10,226.94x = 99,134,081.93
  5. Step 5: Solve for x
    x = 99,134,081.93/10,226.94
  6. Step 6: Final answer
    x = 9,693.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.