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Finding the Fourth Proportional to 7,693.93, 10,612.34 and 4,711.24

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Solution

The fourth proportional to 7,693.93, 10,612.34 and 4,711.24 is: 6,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.93 : 10,612.34 = 4,711.24 : x
  2. Step 2: Convert to fraction form
    7,693.93/10,612.34 = 4,711.24/x
  3. Step 3: Cross multiply
    7,693.93x = 10,612.34 × 4,711.24
  4. Step 4: Simplify right side
    7,693.93x = 49,997,204.08
  5. Step 5: Solve for x
    x = 49,997,204.08/7,693.93
  6. Step 6: Final answer
    x = 6,498.27

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