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Finding the Fourth Proportional to 8,603.38, 11,876.34 and 7,283.98

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Solution

The fourth proportional to 8,603.38, 11,876.34 and 7,283.98 is: 10,055.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,603.38 : 11,876.34 = 7,283.98 : x
  2. Step 2: Convert to fraction form
    8,603.38/11,876.34 = 7,283.98/x
  3. Step 3: Cross multiply
    8,603.38x = 11,876.34 × 7,283.98
  4. Step 4: Simplify right side
    8,603.38x = 86,507,023.03
  5. Step 5: Solve for x
    x = 86,507,023.03/8,603.38
  6. Step 6: Final answer
    x = 10,055.00

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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.