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Finding the Fourth Proportional to 11,585.99, 15,988.77 and 6,280.82

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Solution

The fourth proportional to 11,585.99, 15,988.77 and 6,280.82 is: 8,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.99 : 15,988.77 = 6,280.82 : x
  2. Step 2: Convert to fraction form
    11,585.99/15,988.77 = 6,280.82/x
  3. Step 3: Cross multiply
    11,585.99x = 15,988.77 × 6,280.82
  4. Step 4: Simplify right side
    11,585.99x = 100,422,503.77
  5. Step 5: Solve for x
    x = 100,422,503.77/11,585.99
  6. Step 6: Final answer
    x = 8,667.58

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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.