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Finding the Fourth Proportional to 7,610, 11,406.42 and 5,755.10

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Solution

The fourth proportional to 7,610, 11,406.42 and 5,755.10 is: 8,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610 : 11,406.42 = 5,755.10 : x
  2. Step 2: Convert to fraction form
    7,610/11,406.42 = 5,755.10/x
  3. Step 3: Cross multiply
    7,610x = 11,406.42 × 5,755.10
  4. Step 4: Simplify right side
    7,610x = 65,645,087.74
  5. Step 5: Solve for x
    x = 65,645,087.74/7,610
  6. Step 6: Final answer
    x = 8,626.16

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Why These Related Problems?

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