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Finding the Fourth Proportional to 10,477.58, 14,459.78 and 5,761.86

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Solution

The fourth proportional to 10,477.58, 14,459.78 and 5,761.86 is: 7,951.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.58 : 14,459.78 = 5,761.86 : x
  2. Step 2: Convert to fraction form
    10,477.58/14,459.78 = 5,761.86/x
  3. Step 3: Cross multiply
    10,477.58x = 14,459.78 × 5,761.86
  4. Step 4: Simplify right side
    10,477.58x = 83,315,227.99
  5. Step 5: Solve for x
    x = 83,315,227.99/10,477.58
  6. Step 6: Final answer
    x = 7,951.76

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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.