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Finding the Fourth Proportional to 10,355.91, 14,291.93 and 5,819.11

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Solution

The fourth proportional to 10,355.91, 14,291.93 and 5,819.11 is: 8,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.91 : 14,291.93 = 5,819.11 : x
  2. Step 2: Convert to fraction form
    10,355.91/14,291.93 = 5,819.11/x
  3. Step 3: Cross multiply
    10,355.91x = 14,291.93 × 5,819.11
  4. Step 4: Simplify right side
    10,355.91x = 83,166,312.78
  5. Step 5: Solve for x
    x = 83,166,312.78/10,355.91
  6. Step 6: Final answer
    x = 8,030.81

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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.