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Finding the Fourth Proportional to 7,803.48, 11,698.86 and 3,417.60

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Solution

The fourth proportional to 7,803.48, 11,698.86 and 3,417.60 is: 5,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.48 : 11,698.86 = 3,417.60 : x
  2. Step 2: Convert to fraction form
    7,803.48/11,698.86 = 3,417.60/x
  3. Step 3: Cross multiply
    7,803.48x = 11,698.86 × 3,417.60
  4. Step 4: Simplify right side
    7,803.48x = 39,982,023.94
  5. Step 5: Solve for x
    x = 39,982,023.94/7,803.48
  6. Step 6: Final answer
    x = 5,123.61

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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.