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Finding the Fourth Proportional to 10,353.66, 14,288.06 and 5,637.94

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Solution

The fourth proportional to 10,353.66, 14,288.06 and 5,637.94 is: 7,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.66 : 14,288.06 = 5,637.94 : x
  2. Step 2: Convert to fraction form
    10,353.66/14,288.06 = 5,637.94/x
  3. Step 3: Cross multiply
    10,353.66x = 14,288.06 × 5,637.94
  4. Step 4: Simplify right side
    10,353.66x = 80,555,203.37
  5. Step 5: Solve for x
    x = 80,555,203.37/10,353.66
  6. Step 6: Final answer
    x = 7,780.36

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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.