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Finding the Fourth Proportional to 8,603.10, 12,904.74 and 3,669.66

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Solution

The fourth proportional to 8,603.10, 12,904.74 and 3,669.66 is: 5,504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,603.10 : 12,904.74 = 3,669.66 : x
  2. Step 2: Convert to fraction form
    8,603.10/12,904.74 = 3,669.66/x
  3. Step 3: Cross multiply
    8,603.10x = 12,904.74 × 3,669.66
  4. Step 4: Simplify right side
    8,603.10x = 47,356,008.19
  5. Step 5: Solve for x
    x = 47,356,008.19/8,603.10
  6. Step 6: Final answer
    x = 5,504.53

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Why These Related Problems?

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