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Finding the Fourth Proportional to 7,744.98, 11,607.75 and 4,627.29

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Solution

The fourth proportional to 7,744.98, 11,607.75 and 4,627.29 is: 6,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.98 : 11,607.75 = 4,627.29 : x
  2. Step 2: Convert to fraction form
    7,744.98/11,607.75 = 4,627.29/x
  3. Step 3: Cross multiply
    7,744.98x = 11,607.75 × 4,627.29
  4. Step 4: Simplify right side
    7,744.98x = 53,712,425.50
  5. Step 5: Solve for x
    x = 53,712,425.50/7,744.98
  6. Step 6: Final answer
    x = 6,935.13

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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.