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Finding the Fourth Proportional to 28,370.50, 42,555.75 and 7,594

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Solution

The fourth proportional to 28,370.50, 42,555.75 and 7,594 is: 11,391

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,370.50 : 42,555.75 = 7,594 : x
  2. Step 2: Convert to fraction form
    28,370.50/42,555.75 = 7,594/x
  3. Step 3: Cross multiply
    28,370.50x = 42,555.75 × 7,594
  4. Step 4: Simplify right side
    28,370.50x = 323,168,365.50
  5. Step 5: Solve for x
    x = 323,168,365.50/28,370.50
  6. Step 6: Final answer
    x = 11,391

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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.