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Finding the Fourth Proportional to 7,401.60, 11,102.03 and 1,854.62

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Solution

The fourth proportional to 7,401.60, 11,102.03 and 1,854.62 is: 2,781.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.60 : 11,102.03 = 1,854.62 : x
  2. Step 2: Convert to fraction form
    7,401.60/11,102.03 = 1,854.62/x
  3. Step 3: Cross multiply
    7,401.60x = 11,102.03 × 1,854.62
  4. Step 4: Simplify right side
    7,401.60x = 20,590,065.36
  5. Step 5: Solve for x
    x = 20,590,065.36/7,401.60
  6. Step 6: Final answer
    x = 2,781.84

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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.