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Finding the Fourth Proportional to 6,910.53, 9,526.50 and 4,782.81

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Solution

The fourth proportional to 6,910.53, 9,526.50 and 4,782.81 is: 6,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.53 : 9,526.50 = 4,782.81 : x
  2. Step 2: Convert to fraction form
    6,910.53/9,526.50 = 4,782.81/x
  3. Step 3: Cross multiply
    6,910.53x = 9,526.50 × 4,782.81
  4. Step 4: Simplify right side
    6,910.53x = 45,563,439.47
  5. Step 5: Solve for x
    x = 45,563,439.47/6,910.53
  6. Step 6: Final answer
    x = 6,593.34

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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.