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Finding the Fourth Proportional to 7,572.71, 11,361 and 4,455.29

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Solution

The fourth proportional to 7,572.71, 11,361 and 4,455.29 is: 6,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.71 : 11,361 = 4,455.29 : x
  2. Step 2: Convert to fraction form
    7,572.71/11,361 = 4,455.29/x
  3. Step 3: Cross multiply
    7,572.71x = 11,361 × 4,455.29
  4. Step 4: Simplify right side
    7,572.71x = 50,616,549.69
  5. Step 5: Solve for x
    x = 50,616,549.69/7,572.71
  6. Step 6: Final answer
    x = 6,684.07

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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.