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Finding the Fourth Proportional to 7,803.18, 11,698.20 and 3,417.30

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Solution

The fourth proportional to 7,803.18, 11,698.20 and 3,417.30 is: 5,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.18 : 11,698.20 = 3,417.30 : x
  2. Step 2: Convert to fraction form
    7,803.18/11,698.20 = 3,417.30/x
  3. Step 3: Cross multiply
    7,803.18x = 11,698.20 × 3,417.30
  4. Step 4: Simplify right side
    7,803.18x = 39,976,258.86
  5. Step 5: Solve for x
    x = 39,976,258.86/7,803.18
  6. Step 6: Final answer
    x = 5,123.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.