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Finding the Fourth Proportional to 6,526.88, 9,782.40 and 2,628.80

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Solution

The fourth proportional to 6,526.88, 9,782.40 and 2,628.80 is: 3,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.88 : 9,782.40 = 2,628.80 : x
  2. Step 2: Convert to fraction form
    6,526.88/9,782.40 = 2,628.80/x
  3. Step 3: Cross multiply
    6,526.88x = 9,782.40 × 2,628.80
  4. Step 4: Simplify right side
    6,526.88x = 25,715,973.12
  5. Step 5: Solve for x
    x = 25,715,973.12/6,526.88
  6. Step 6: Final answer
    x = 3,940.01

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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.