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Finding the Fourth Proportional to 6,902.47, 10,345.06 and 5,435.83

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Solution

The fourth proportional to 6,902.47, 10,345.06 and 5,435.83 is: 8,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.47 : 10,345.06 = 5,435.83 : x
  2. Step 2: Convert to fraction form
    6,902.47/10,345.06 = 5,435.83/x
  3. Step 3: Cross multiply
    6,902.47x = 10,345.06 × 5,435.83
  4. Step 4: Simplify right side
    6,902.47x = 56,233,987.50
  5. Step 5: Solve for x
    x = 56,233,987.50/6,902.47
  6. Step 6: Final answer
    x = 8,146.94

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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.