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Finding the Fourth Proportional to 11,565.74, 15,961.00 and 6,529.66

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Solution

The fourth proportional to 11,565.74, 15,961.00 and 6,529.66 is: 9,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.74 : 15,961.00 = 6,529.66 : x
  2. Step 2: Convert to fraction form
    11,565.74/15,961.00 = 6,529.66/x
  3. Step 3: Cross multiply
    11,565.74x = 15,961.00 × 6,529.66
  4. Step 4: Simplify right side
    11,565.74x = 104,219,949.06
  5. Step 5: Solve for x
    x = 104,219,949.06/11,565.74
  6. Step 6: Final answer
    x = 9,011.09

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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.