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Finding the Fourth Proportional to 7,801.59, 10,765.89 and 4,264.86

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Solution

The fourth proportional to 7,801.59, 10,765.89 and 4,264.86 is: 5,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.59 : 10,765.89 = 4,264.86 : x
  2. Step 2: Convert to fraction form
    7,801.59/10,765.89 = 4,264.86/x
  3. Step 3: Cross multiply
    7,801.59x = 10,765.89 × 4,264.86
  4. Step 4: Simplify right side
    7,801.59x = 45,915,013.63
  5. Step 5: Solve for x
    x = 45,915,013.63/7,801.59
  6. Step 6: Final answer
    x = 5,885.34

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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.