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Finding the Fourth Proportional to 11,587.80, 15,991.16 and 6,282.63

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Solution

The fourth proportional to 11,587.80, 15,991.16 and 6,282.63 is: 8,670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.80 : 15,991.16 = 6,282.63 : x
  2. Step 2: Convert to fraction form
    11,587.80/15,991.16 = 6,282.63/x
  3. Step 3: Cross multiply
    11,587.80x = 15,991.16 × 6,282.63
  4. Step 4: Simplify right side
    11,587.80x = 100,466,541.55
  5. Step 5: Solve for x
    x = 100,466,541.55/11,587.80
  6. Step 6: Final answer
    x = 8,670.03

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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.