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Finding the Fourth Proportional to 10,508.52, 14,501.82 and 6,032.16

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Solution

The fourth proportional to 10,508.52, 14,501.82 and 6,032.16 is: 8,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.52 : 14,501.82 = 6,032.16 : x
  2. Step 2: Convert to fraction form
    10,508.52/14,501.82 = 6,032.16/x
  3. Step 3: Cross multiply
    10,508.52x = 14,501.82 × 6,032.16
  4. Step 4: Simplify right side
    10,508.52x = 87,477,195.86
  5. Step 5: Solve for x
    x = 87,477,195.86/10,508.52
  6. Step 6: Final answer
    x = 8,324.41

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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.