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Finding the Fourth Proportional to 10,548.68, 14,556.04 and 5,832.32

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Solution

The fourth proportional to 10,548.68, 14,556.04 and 5,832.32 is: 8,047.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.68 : 14,556.04 = 5,832.32 : x
  2. Step 2: Convert to fraction form
    10,548.68/14,556.04 = 5,832.32/x
  3. Step 3: Cross multiply
    10,548.68x = 14,556.04 × 5,832.32
  4. Step 4: Simplify right side
    10,548.68x = 84,895,483.21
  5. Step 5: Solve for x
    x = 84,895,483.21/10,548.68
  6. Step 6: Final answer
    x = 8,047.97

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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.