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Finding the Fourth Proportional to 10,335.77, 14,263.52 and 5,859.42

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Solution

The fourth proportional to 10,335.77, 14,263.52 and 5,859.42 is: 8,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.77 : 14,263.52 = 5,859.42 : x
  2. Step 2: Convert to fraction form
    10,335.77/14,263.52 = 5,859.42/x
  3. Step 3: Cross multiply
    10,335.77x = 14,263.52 × 5,859.42
  4. Step 4: Simplify right side
    10,335.77x = 83,575,954.36
  5. Step 5: Solve for x
    x = 83,575,954.36/10,335.77
  6. Step 6: Final answer
    x = 8,086.09

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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.