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Finding the Fourth Proportional to 7,656.50, 10,565.98 and 4,344.50

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Solution

The fourth proportional to 7,656.50, 10,565.98 and 4,344.50 is: 5,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.50 : 10,565.98 = 4,344.50 : x
  2. Step 2: Convert to fraction form
    7,656.50/10,565.98 = 4,344.50/x
  3. Step 3: Cross multiply
    7,656.50x = 10,565.98 × 4,344.50
  4. Step 4: Simplify right side
    7,656.50x = 45,903,900.11
  5. Step 5: Solve for x
    x = 45,903,900.11/7,656.50
  6. Step 6: Final answer
    x = 5,995.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.