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Finding the Fourth Proportional to 8,470.98, 11,693.16 and 4,935.33

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Solution

The fourth proportional to 8,470.98, 11,693.16 and 4,935.33 is: 6,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.98 : 11,693.16 = 4,935.33 : x
  2. Step 2: Convert to fraction form
    8,470.98/11,693.16 = 4,935.33/x
  3. Step 3: Cross multiply
    8,470.98x = 11,693.16 × 4,935.33
  4. Step 4: Simplify right side
    8,470.98x = 57,709,603.34
  5. Step 5: Solve for x
    x = 57,709,603.34/8,470.98
  6. Step 6: Final answer
    x = 6,812.62

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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.