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Finding the Fourth Proportional to 7,284.74, 10,052.98 and 4,140.86

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Solution

The fourth proportional to 7,284.74, 10,052.98 and 4,140.86 is: 5,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.74 : 10,052.98 = 4,140.86 : x
  2. Step 2: Convert to fraction form
    7,284.74/10,052.98 = 4,140.86/x
  3. Step 3: Cross multiply
    7,284.74x = 10,052.98 × 4,140.86
  4. Step 4: Simplify right side
    7,284.74x = 41,627,922.15
  5. Step 5: Solve for x
    x = 41,627,922.15/7,284.74
  6. Step 6: Final answer
    x = 5,714.40

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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.