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Finding the Fourth Proportional to 7,607.30, 11,410.98 and 2,342.28

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Solution

The fourth proportional to 7,607.30, 11,410.98 and 2,342.28 is: 3,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.30 : 11,410.98 = 2,342.28 : x
  2. Step 2: Convert to fraction form
    7,607.30/11,410.98 = 2,342.28/x
  3. Step 3: Cross multiply
    7,607.30x = 11,410.98 × 2,342.28
  4. Step 4: Simplify right side
    7,607.30x = 26,727,698.52
  5. Step 5: Solve for x
    x = 26,727,698.52/7,607.30
  6. Step 6: Final answer
    x = 3,513.43

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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.