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Finding the Fourth Proportional to 7,570.78, 10,446.08 and 4,426.36

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Solution

The fourth proportional to 7,570.78, 10,446.08 and 4,426.36 is: 6,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.78 : 10,446.08 = 4,426.36 : x
  2. Step 2: Convert to fraction form
    7,570.78/10,446.08 = 4,426.36/x
  3. Step 3: Cross multiply
    7,570.78x = 10,446.08 × 4,426.36
  4. Step 4: Simplify right side
    7,570.78x = 46,238,110.67
  5. Step 5: Solve for x
    x = 46,238,110.67/7,570.78
  6. Step 6: Final answer
    x = 6,107.44

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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.