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Finding the Fourth Proportional to 10,602.48, 14,631.44 and 5,887

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Solution

The fourth proportional to 10,602.48, 14,631.44 and 5,887 is: 8,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.48 : 14,631.44 = 5,887 : x
  2. Step 2: Convert to fraction form
    10,602.48/14,631.44 = 5,887/x
  3. Step 3: Cross multiply
    10,602.48x = 14,631.44 × 5,887
  4. Step 4: Simplify right side
    10,602.48x = 86,135,287.28
  5. Step 5: Solve for x
    x = 86,135,287.28/10,602.48
  6. Step 6: Final answer
    x = 8,124.07

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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.