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Finding the Fourth Proportional to 10,774, 14,868.30 and 7,048

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Solution

The fourth proportional to 10,774, 14,868.30 and 7,048 is: 9,726.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774 : 14,868.30 = 7,048 : x
  2. Step 2: Convert to fraction form
    10,774/14,868.30 = 7,048/x
  3. Step 3: Cross multiply
    10,774x = 14,868.30 × 7,048
  4. Step 4: Simplify right side
    10,774x = 104,791,778.40
  5. Step 5: Solve for x
    x = 104,791,778.40/10,774
  6. Step 6: Final answer
    x = 9,726.36

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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.