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Finding the Fourth Proportional to 7,469.12, 10,307.02 and 4,111.85

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Solution

The fourth proportional to 7,469.12, 10,307.02 and 4,111.85 is: 5,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.12 : 10,307.02 = 4,111.85 : x
  2. Step 2: Convert to fraction form
    7,469.12/10,307.02 = 4,111.85/x
  3. Step 3: Cross multiply
    7,469.12x = 10,307.02 × 4,111.85
  4. Step 4: Simplify right side
    7,469.12x = 42,380,899.63
  5. Step 5: Solve for x
    x = 42,380,899.63/7,469.12
  6. Step 6: Final answer
    x = 5,674.15

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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.