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Finding the Fourth Proportional to 7,738.25, 11,602.22 and 2,807.25

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Solution

The fourth proportional to 7,738.25, 11,602.22 and 2,807.25 is: 4,209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.25 : 11,602.22 = 2,807.25 : x
  2. Step 2: Convert to fraction form
    7,738.25/11,602.22 = 2,807.25/x
  3. Step 3: Cross multiply
    7,738.25x = 11,602.22 × 2,807.25
  4. Step 4: Simplify right side
    7,738.25x = 32,570,332.10
  5. Step 5: Solve for x
    x = 32,570,332.10/7,738.25
  6. Step 6: Final answer
    x = 4,209.00

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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.