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Finding the Fourth Proportional to 7,858.26, 10,831.05 and 6,582.78

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Solution

The fourth proportional to 7,858.26, 10,831.05 and 6,582.78 is: 9,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.26 : 10,831.05 = 6,582.78 : x
  2. Step 2: Convert to fraction form
    7,858.26/10,831.05 = 6,582.78/x
  3. Step 3: Cross multiply
    7,858.26x = 10,831.05 × 6,582.78
  4. Step 4: Simplify right side
    7,858.26x = 71,298,419.32
  5. Step 5: Solve for x
    x = 71,298,419.32/7,858.26
  6. Step 6: Final answer
    x = 9,073.05

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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.