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Finding the Fourth Proportional to 7,429.60, 11,144.40 and 7,314.40

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Solution

The fourth proportional to 7,429.60, 11,144.40 and 7,314.40 is: 10,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.60 : 11,144.40 = 7,314.40 : x
  2. Step 2: Convert to fraction form
    7,429.60/11,144.40 = 7,314.40/x
  3. Step 3: Cross multiply
    7,429.60x = 11,144.40 × 7,314.40
  4. Step 4: Simplify right side
    7,429.60x = 81,514,599.36
  5. Step 5: Solve for x
    x = 81,514,599.36/7,429.60
  6. Step 6: Final answer
    x = 10,971.60

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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.