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Finding the Fourth Proportional to 8,603.40, 11,873.16 and 4,827.78

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Solution

The fourth proportional to 8,603.40, 11,873.16 and 4,827.78 is: 6,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,603.40 : 11,873.16 = 4,827.78 : x
  2. Step 2: Convert to fraction form
    8,603.40/11,873.16 = 4,827.78/x
  3. Step 3: Cross multiply
    8,603.40x = 11,873.16 × 4,827.78
  4. Step 4: Simplify right side
    8,603.40x = 57,321,004.38
  5. Step 5: Solve for x
    x = 57,321,004.38/8,603.40
  6. Step 6: Final answer
    x = 6,662.60

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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.