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Finding the Fourth Proportional to 28,501.50, 42,752.27 and 7,725

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Solution

The fourth proportional to 28,501.50, 42,752.27 and 7,725 is: 11,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,501.50 : 42,752.27 = 7,725 : x
  2. Step 2: Convert to fraction form
    28,501.50/42,752.27 = 7,725/x
  3. Step 3: Cross multiply
    28,501.50x = 42,752.27 × 7,725
  4. Step 4: Simplify right side
    28,501.50x = 330,261,285.75
  5. Step 5: Solve for x
    x = 330,261,285.75/28,501.50
  6. Step 6: Final answer
    x = 11,587.51

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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.