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Finding the Fourth Proportional to 10,667.16, 14,720.95 and 5,887.20

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Solution

The fourth proportional to 10,667.16, 14,720.95 and 5,887.20 is: 8,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.16 : 14,720.95 = 5,887.20 : x
  2. Step 2: Convert to fraction form
    10,667.16/14,720.95 = 5,887.20/x
  3. Step 3: Cross multiply
    10,667.16x = 14,720.95 × 5,887.20
  4. Step 4: Simplify right side
    10,667.16x = 86,665,176.84
  5. Step 5: Solve for x
    x = 86,665,176.84/10,667.16
  6. Step 6: Final answer
    x = 8,124.48

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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.