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Finding the Fourth Proportional to 10,337, 14,265.06 and 5,859.32

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Solution

The fourth proportional to 10,337, 14,265.06 and 5,859.32 is: 8,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337 : 14,265.06 = 5,859.32 : x
  2. Step 2: Convert to fraction form
    10,337/14,265.06 = 5,859.32/x
  3. Step 3: Cross multiply
    10,337x = 14,265.06 × 5,859.32
  4. Step 4: Simplify right side
    10,337x = 83,583,551.36
  5. Step 5: Solve for x
    x = 83,583,551.36/10,337
  6. Step 6: Final answer
    x = 8,085.86

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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.