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Finding the Fourth Proportional to 7,738.49, 11,607.78 and 1,895.10

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Solution

The fourth proportional to 7,738.49, 11,607.78 and 1,895.10 is: 2,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.49 : 11,607.78 = 1,895.10 : x
  2. Step 2: Convert to fraction form
    7,738.49/11,607.78 = 1,895.10/x
  3. Step 3: Cross multiply
    7,738.49x = 11,607.78 × 1,895.10
  4. Step 4: Simplify right side
    7,738.49x = 21,997,862.13
  5. Step 5: Solve for x
    x = 21,997,862.13/7,738.49
  6. Step 6: Final answer
    x = 2,842.66

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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.