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Finding the Fourth Proportional to 10,406.50, 14,343.48 and 7,887.81

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Solution

The fourth proportional to 10,406.50, 14,343.48 and 7,887.81 is: 10,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.50 : 14,343.48 = 7,887.81 : x
  2. Step 2: Convert to fraction form
    10,406.50/14,343.48 = 7,887.81/x
  3. Step 3: Cross multiply
    10,406.50x = 14,343.48 × 7,887.81
  4. Step 4: Simplify right side
    10,406.50x = 113,138,577.74
  5. Step 5: Solve for x
    x = 113,138,577.74/10,406.50
  6. Step 6: Final answer
    x = 10,871.91

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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.