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Finding the Fourth Proportional to 28,275.65, 42,415.69 and 7,499.15

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Solution

The fourth proportional to 28,275.65, 42,415.69 and 7,499.15 is: 11,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,275.65 : 42,415.69 = 7,499.15 : x
  2. Step 2: Convert to fraction form
    28,275.65/42,415.69 = 7,499.15/x
  3. Step 3: Cross multiply
    28,275.65x = 42,415.69 × 7,499.15
  4. Step 4: Simplify right side
    28,275.65x = 318,081,428.33
  5. Step 5: Solve for x
    x = 318,081,428.33/28,275.65
  6. Step 6: Final answer
    x = 11,249.31

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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.