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Finding the Fourth Proportional to 7,110.86, 9,818.19 and 4,594.46

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Solution

The fourth proportional to 7,110.86, 9,818.19 and 4,594.46 is: 6,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.86 : 9,818.19 = 4,594.46 : x
  2. Step 2: Convert to fraction form
    7,110.86/9,818.19 = 4,594.46/x
  3. Step 3: Cross multiply
    7,110.86x = 9,818.19 × 4,594.46
  4. Step 4: Simplify right side
    7,110.86x = 45,109,258.26
  5. Step 5: Solve for x
    x = 45,109,258.26/7,110.86
  6. Step 6: Final answer
    x = 6,343.71

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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.