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Finding the Fourth Proportional to 11,587.61, 15,991.02 and 6,282.51

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Solution

The fourth proportional to 11,587.61, 15,991.02 and 6,282.51 is: 8,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.61 : 15,991.02 = 6,282.51 : x
  2. Step 2: Convert to fraction form
    11,587.61/15,991.02 = 6,282.51/x
  3. Step 3: Cross multiply
    11,587.61x = 15,991.02 × 6,282.51
  4. Step 4: Simplify right side
    11,587.61x = 100,463,773.04
  5. Step 5: Solve for x
    x = 100,463,773.04/11,587.61
  6. Step 6: Final answer
    x = 8,669.93

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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.