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Finding the Fourth Proportional to 10,777.57, 16,154.37 and 4,535.74

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Solution

The fourth proportional to 10,777.57, 16,154.37 and 4,535.74 is: 6,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.57 : 16,154.37 = 4,535.74 : x
  2. Step 2: Convert to fraction form
    10,777.57/16,154.37 = 4,535.74/x
  3. Step 3: Cross multiply
    10,777.57x = 16,154.37 × 4,535.74
  4. Step 4: Simplify right side
    10,777.57x = 73,272,022.18
  5. Step 5: Solve for x
    x = 73,272,022.18/10,777.57
  6. Step 6: Final answer
    x = 6,798.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.