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Finding the Fourth Proportional to 8,470.13, 11,688.86 and 4,693.38

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Solution

The fourth proportional to 8,470.13, 11,688.86 and 4,693.38 is: 6,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.13 : 11,688.86 = 4,693.38 : x
  2. Step 2: Convert to fraction form
    8,470.13/11,688.86 = 4,693.38/x
  3. Step 3: Cross multiply
    8,470.13x = 11,688.86 × 4,693.38
  4. Step 4: Simplify right side
    8,470.13x = 54,860,261.75
  5. Step 5: Solve for x
    x = 54,860,261.75/8,470.13
  6. Step 6: Final answer
    x = 6,476.91

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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.