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Finding the Fourth Proportional to 7,655.55, 11,486.19 and 5,213.40

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Solution

The fourth proportional to 7,655.55, 11,486.19 and 5,213.40 is: 7,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.55 : 11,486.19 = 5,213.40 : x
  2. Step 2: Convert to fraction form
    7,655.55/11,486.19 = 5,213.40/x
  3. Step 3: Cross multiply
    7,655.55x = 11,486.19 × 5,213.40
  4. Step 4: Simplify right side
    7,655.55x = 59,882,102.95
  5. Step 5: Solve for x
    x = 59,882,102.95/7,655.55
  6. Step 6: Final answer
    x = 7,822.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.