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Finding the Fourth Proportional to 11,002.12, 16,502.70 and 6,074.20

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Solution

The fourth proportional to 11,002.12, 16,502.70 and 6,074.20 is: 9,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.12 : 16,502.70 = 6,074.20 : x
  2. Step 2: Convert to fraction form
    11,002.12/16,502.70 = 6,074.20/x
  3. Step 3: Cross multiply
    11,002.12x = 16,502.70 × 6,074.20
  4. Step 4: Simplify right side
    11,002.12x = 100,240,700.34
  5. Step 5: Solve for x
    x = 100,240,700.34/11,002.12
  6. Step 6: Final answer
    x = 9,111.03

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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.