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Finding the Fourth Proportional to 10,451.70, 14,420.43 and 8,089.74

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Solution

The fourth proportional to 10,451.70, 14,420.43 and 8,089.74 is: 11,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.70 : 14,420.43 = 8,089.74 : x
  2. Step 2: Convert to fraction form
    10,451.70/14,420.43 = 8,089.74/x
  3. Step 3: Cross multiply
    10,451.70x = 14,420.43 × 8,089.74
  4. Step 4: Simplify right side
    10,451.70x = 116,657,529.39
  5. Step 5: Solve for x
    x = 116,657,529.39/10,451.70
  6. Step 6: Final answer
    x = 11,161.58

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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.