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Finding the Fourth Proportional to 10,508.91, 14,501.72 and 6,032.37

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Solution

The fourth proportional to 10,508.91, 14,501.72 and 6,032.37 is: 8,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.91 : 14,501.72 = 6,032.37 : x
  2. Step 2: Convert to fraction form
    10,508.91/14,501.72 = 6,032.37/x
  3. Step 3: Cross multiply
    10,508.91x = 14,501.72 × 6,032.37
  4. Step 4: Simplify right side
    10,508.91x = 87,479,710.51
  5. Step 5: Solve for x
    x = 87,479,710.51/10,508.91
  6. Step 6: Final answer
    x = 8,324.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.