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Finding the Fourth Proportional to 7,829.03, 11,748.11 and 2,902.11

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Solution

The fourth proportional to 7,829.03, 11,748.11 and 2,902.11 is: 4,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.03 : 11,748.11 = 2,902.11 : x
  2. Step 2: Convert to fraction form
    7,829.03/11,748.11 = 2,902.11/x
  3. Step 3: Cross multiply
    7,829.03x = 11,748.11 × 2,902.11
  4. Step 4: Simplify right side
    7,829.03x = 34,094,248.95
  5. Step 5: Solve for x
    x = 34,094,248.95/7,829.03
  6. Step 6: Final answer
    x = 4,354.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.