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Finding the Fourth Proportional to 28,162.50, 42,243.75 and 7,386

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Solution

The fourth proportional to 28,162.50, 42,243.75 and 7,386 is: 11,079

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,162.50 : 42,243.75 = 7,386 : x
  2. Step 2: Convert to fraction form
    28,162.50/42,243.75 = 7,386/x
  3. Step 3: Cross multiply
    28,162.50x = 42,243.75 × 7,386
  4. Step 4: Simplify right side
    28,162.50x = 312,012,337.50
  5. Step 5: Solve for x
    x = 312,012,337.50/28,162.50
  6. Step 6: Final answer
    x = 11,079

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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.