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Finding the Fourth Proportional to 7,779, 10,731.33 and 5,262

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Solution

The fourth proportional to 7,779, 10,731.33 and 5,262 is: 7,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779 : 10,731.33 = 5,262 : x
  2. Step 2: Convert to fraction form
    7,779/10,731.33 = 5,262/x
  3. Step 3: Cross multiply
    7,779x = 10,731.33 × 5,262
  4. Step 4: Simplify right side
    7,779x = 56,468,258.46
  5. Step 5: Solve for x
    x = 56,468,258.46/7,779
  6. Step 6: Final answer
    x = 7,259.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.