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Finding the Fourth Proportional to 7,801.30, 10,765.95 and 4,264.66

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Solution

The fourth proportional to 7,801.30, 10,765.95 and 4,264.66 is: 5,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.30 : 10,765.95 = 4,264.66 : x
  2. Step 2: Convert to fraction form
    7,801.30/10,765.95 = 4,264.66/x
  3. Step 3: Cross multiply
    7,801.30x = 10,765.95 × 4,264.66
  4. Step 4: Simplify right side
    7,801.30x = 45,913,116.33
  5. Step 5: Solve for x
    x = 45,913,116.33/7,801.30
  6. Step 6: Final answer
    x = 5,885.32

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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.