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Finding the Fourth Proportional to 8,764.24, 12,094.86 and 4,785.38

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Solution

The fourth proportional to 8,764.24, 12,094.86 and 4,785.38 is: 6,603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.24 : 12,094.86 = 4,785.38 : x
  2. Step 2: Convert to fraction form
    8,764.24/12,094.86 = 4,785.38/x
  3. Step 3: Cross multiply
    8,764.24x = 12,094.86 × 4,785.38
  4. Step 4: Simplify right side
    8,764.24x = 57,878,501.15
  5. Step 5: Solve for x
    x = 57,878,501.15/8,764.24
  6. Step 6: Final answer
    x = 6,603.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.