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Finding the Fourth Proportional to 6,723.84, 10,089.08 and 4,762.10

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Solution

The fourth proportional to 6,723.84, 10,089.08 and 4,762.10 is: 7,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.84 : 10,089.08 = 4,762.10 : x
  2. Step 2: Convert to fraction form
    6,723.84/10,089.08 = 4,762.10/x
  3. Step 3: Cross multiply
    6,723.84x = 10,089.08 × 4,762.10
  4. Step 4: Simplify right side
    6,723.84x = 48,045,207.87
  5. Step 5: Solve for x
    x = 48,045,207.87/6,723.84
  6. Step 6: Final answer
    x = 7,145.50

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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.