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Finding the Fourth Proportional to 7,739.88, 11,605.98 and 2,545

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Solution

The fourth proportional to 7,739.88, 11,605.98 and 2,545 is: 3,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.88 : 11,605.98 = 2,545 : x
  2. Step 2: Convert to fraction form
    7,739.88/11,605.98 = 2,545/x
  3. Step 3: Cross multiply
    7,739.88x = 11,605.98 × 2,545
  4. Step 4: Simplify right side
    7,739.88x = 29,537,219.10
  5. Step 5: Solve for x
    x = 29,537,219.10/7,739.88
  6. Step 6: Final answer
    x = 3,816.24

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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.