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Finding the Fourth Proportional to 7,112.83, 9,812.58 and 6,783.43

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Solution

The fourth proportional to 7,112.83, 9,812.58 and 6,783.43 is: 9,358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.83 : 9,812.58 = 6,783.43 : x
  2. Step 2: Convert to fraction form
    7,112.83/9,812.58 = 6,783.43/x
  3. Step 3: Cross multiply
    7,112.83x = 9,812.58 × 6,783.43
  4. Step 4: Simplify right side
    7,112.83x = 66,562,949.55
  5. Step 5: Solve for x
    x = 66,562,949.55/7,112.83
  6. Step 6: Final answer
    x = 9,358.15

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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.