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Finding the Fourth Proportional to 8,423, 11,623.98 and 4,697.24

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Solution

The fourth proportional to 8,423, 11,623.98 and 4,697.24 is: 6,482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423 : 11,623.98 = 4,697.24 : x
  2. Step 2: Convert to fraction form
    8,423/11,623.98 = 4,697.24/x
  3. Step 3: Cross multiply
    8,423x = 11,623.98 × 4,697.24
  4. Step 4: Simplify right side
    8,423x = 54,600,623.82
  5. Step 5: Solve for x
    x = 54,600,623.82/8,423
  6. Step 6: Final answer
    x = 6,482.33

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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.