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Finding the Fourth Proportional to 10,667.48, 14,721 and 5,887.46

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Solution

The fourth proportional to 10,667.48, 14,721 and 5,887.46 is: 8,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.48 : 14,721 = 5,887.46 : x
  2. Step 2: Convert to fraction form
    10,667.48/14,721 = 5,887.46/x
  3. Step 3: Cross multiply
    10,667.48x = 14,721 × 5,887.46
  4. Step 4: Simplify right side
    10,667.48x = 86,669,225.06
  5. Step 5: Solve for x
    x = 86,669,225.06/10,667.48
  6. Step 6: Final answer
    x = 8,124.62

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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.