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Finding the Fourth Proportional to 7,770.16, 11,655.28 and 2,223.60

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Solution

The fourth proportional to 7,770.16, 11,655.28 and 2,223.60 is: 3,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.16 : 11,655.28 = 2,223.60 : x
  2. Step 2: Convert to fraction form
    7,770.16/11,655.28 = 2,223.60/x
  3. Step 3: Cross multiply
    7,770.16x = 11,655.28 × 2,223.60
  4. Step 4: Simplify right side
    7,770.16x = 25,916,680.61
  5. Step 5: Solve for x
    x = 25,916,680.61/7,770.16
  6. Step 6: Final answer
    x = 3,335.41

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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.