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Finding the Fourth Proportional to 10,588.41, 15,887.03 and 4,662.27

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Solution

The fourth proportional to 10,588.41, 15,887.03 and 4,662.27 is: 6,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.41 : 15,887.03 = 4,662.27 : x
  2. Step 2: Convert to fraction form
    10,588.41/15,887.03 = 4,662.27/x
  3. Step 3: Cross multiply
    10,588.41x = 15,887.03 × 4,662.27
  4. Step 4: Simplify right side
    10,588.41x = 74,069,600.05
  5. Step 5: Solve for x
    x = 74,069,600.05/10,588.41
  6. Step 6: Final answer
    x = 6,995.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.