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Finding the Fourth Proportional to 7,762.29, 11,624.90 and 4,468.46

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Solution

The fourth proportional to 7,762.29, 11,624.90 and 4,468.46 is: 6,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.29 : 11,624.90 = 4,468.46 : x
  2. Step 2: Convert to fraction form
    7,762.29/11,624.90 = 4,468.46/x
  3. Step 3: Cross multiply
    7,762.29x = 11,624.90 × 4,468.46
  4. Step 4: Simplify right side
    7,762.29x = 51,945,320.19
  5. Step 5: Solve for x
    x = 51,945,320.19/7,762.29
  6. Step 6: Final answer
    x = 6,692.01

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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.