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Finding the Fourth Proportional to 8,111.10, 12,170.70 and 4,603.80

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Solution

The fourth proportional to 8,111.10, 12,170.70 and 4,603.80 is: 6,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.10 : 12,170.70 = 4,603.80 : x
  2. Step 2: Convert to fraction form
    8,111.10/12,170.70 = 4,603.80/x
  3. Step 3: Cross multiply
    8,111.10x = 12,170.70 × 4,603.80
  4. Step 4: Simplify right side
    8,111.10x = 56,031,468.66
  5. Step 5: Solve for x
    x = 56,031,468.66/8,111.10
  6. Step 6: Final answer
    x = 6,908.00

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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.