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Finding the Fourth Proportional to 10,620.62, 15,923.64 and 4,694.66

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Solution

The fourth proportional to 10,620.62, 15,923.64 and 4,694.66 is: 7,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.62 : 15,923.64 = 4,694.66 : x
  2. Step 2: Convert to fraction form
    10,620.62/15,923.64 = 4,694.66/x
  3. Step 3: Cross multiply
    10,620.62x = 15,923.64 × 4,694.66
  4. Step 4: Simplify right side
    10,620.62x = 74,756,075.76
  5. Step 5: Solve for x
    x = 74,756,075.76/10,620.62
  6. Step 6: Final answer
    x = 7,038.77

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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.