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Finding the Fourth Proportional to 8,042.16, 12,053.91 and 4,758

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Solution

The fourth proportional to 8,042.16, 12,053.91 and 4,758 is: 7,131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.16 : 12,053.91 = 4,758 : x
  2. Step 2: Convert to fraction form
    8,042.16/12,053.91 = 4,758/x
  3. Step 3: Cross multiply
    8,042.16x = 12,053.91 × 4,758
  4. Step 4: Simplify right side
    8,042.16x = 57,352,503.78
  5. Step 5: Solve for x
    x = 57,352,503.78/8,042.16
  6. Step 6: Final answer
    x = 7,131.48

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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.