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Finding the Fourth Proportional to 8,235.66, 11,365.20 and 7,607.76

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Solution

The fourth proportional to 8,235.66, 11,365.20 and 7,607.76 is: 10,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.66 : 11,365.20 = 7,607.76 : x
  2. Step 2: Convert to fraction form
    8,235.66/11,365.20 = 7,607.76/x
  3. Step 3: Cross multiply
    8,235.66x = 11,365.20 × 7,607.76
  4. Step 4: Simplify right side
    8,235.66x = 86,463,713.95
  5. Step 5: Solve for x
    x = 86,463,713.95/8,235.66
  6. Step 6: Final answer
    x = 10,498.70

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