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Finding the Fourth Proportional to 10,765.36, 14,851.69 and 7,774.66

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Solution

The fourth proportional to 10,765.36, 14,851.69 and 7,774.66 is: 10,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.36 : 14,851.69 = 7,774.66 : x
  2. Step 2: Convert to fraction form
    10,765.36/14,851.69 = 7,774.66/x
  3. Step 3: Cross multiply
    10,765.36x = 14,851.69 × 7,774.66
  4. Step 4: Simplify right side
    10,765.36x = 115,466,840.18
  5. Step 5: Solve for x
    x = 115,466,840.18/10,765.36
  6. Step 6: Final answer
    x = 10,725.78

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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.