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Finding the Fourth Proportional to 7,526.67, 10,388.97 and 4,542

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Solution

The fourth proportional to 7,526.67, 10,388.97 and 4,542 is: 6,269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,526.67 : 10,388.97 = 4,542 : x
  2. Step 2: Convert to fraction form
    7,526.67/10,388.97 = 4,542/x
  3. Step 3: Cross multiply
    7,526.67x = 10,388.97 × 4,542
  4. Step 4: Simplify right side
    7,526.67x = 47,186,701.74
  5. Step 5: Solve for x
    x = 47,186,701.74/7,526.67
  6. Step 6: Final answer
    x = 6,269.27

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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.