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Finding the Fourth Proportional to 11,586.25, 15,988.93 and 6,280.93

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Solution

The fourth proportional to 11,586.25, 15,988.93 and 6,280.93 is: 8,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.25 : 15,988.93 = 6,280.93 : x
  2. Step 2: Convert to fraction form
    11,586.25/15,988.93 = 6,280.93/x
  3. Step 3: Cross multiply
    11,586.25x = 15,988.93 × 6,280.93
  4. Step 4: Simplify right side
    11,586.25x = 100,425,350.10
  5. Step 5: Solve for x
    x = 100,425,350.10/11,586.25
  6. Step 6: Final answer
    x = 8,667.63

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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.