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Finding the Fourth Proportional to 7,486.61, 10,331.51 and 4,129.38

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Solution

The fourth proportional to 7,486.61, 10,331.51 and 4,129.38 is: 5,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.61 : 10,331.51 = 4,129.38 : x
  2. Step 2: Convert to fraction form
    7,486.61/10,331.51 = 4,129.38/x
  3. Step 3: Cross multiply
    7,486.61x = 10,331.51 × 4,129.38
  4. Step 4: Simplify right side
    7,486.61x = 42,662,710.12
  5. Step 5: Solve for x
    x = 42,662,710.12/7,486.61
  6. Step 6: Final answer
    x = 5,698.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.