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Finding the Fourth Proportional to 7,484.86, 10,326.60 and 4,834.06

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Solution

The fourth proportional to 7,484.86, 10,326.60 and 4,834.06 is: 6,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,484.86 : 10,326.60 = 4,834.06 : x
  2. Step 2: Convert to fraction form
    7,484.86/10,326.60 = 4,834.06/x
  3. Step 3: Cross multiply
    7,484.86x = 10,326.60 × 4,834.06
  4. Step 4: Simplify right side
    7,484.86x = 49,919,404.00
  5. Step 5: Solve for x
    x = 49,919,404.00/7,484.86
  6. Step 6: Final answer
    x = 6,669.38

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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.