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Finding the Fourth Proportional to 11,586.10, 15,988.90 and 6,281

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Solution

The fourth proportional to 11,586.10, 15,988.90 and 6,281 is: 8,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.10 : 15,988.90 = 6,281 : x
  2. Step 2: Convert to fraction form
    11,586.10/15,988.90 = 6,281/x
  3. Step 3: Cross multiply
    11,586.10x = 15,988.90 × 6,281
  4. Step 4: Simplify right side
    11,586.10x = 100,426,280.90
  5. Step 5: Solve for x
    x = 100,426,280.90/11,586.10
  6. Step 6: Final answer
    x = 8,667.82

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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.