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Finding the Fourth Proportional to 7,140.60, 10,714.56 and 3,445.98

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Solution

The fourth proportional to 7,140.60, 10,714.56 and 3,445.98 is: 5,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.60 : 10,714.56 = 3,445.98 : x
  2. Step 2: Convert to fraction form
    7,140.60/10,714.56 = 3,445.98/x
  3. Step 3: Cross multiply
    7,140.60x = 10,714.56 × 3,445.98
  4. Step 4: Simplify right side
    7,140.60x = 36,922,159.47
  5. Step 5: Solve for x
    x = 36,922,159.47/7,140.60
  6. Step 6: Final answer
    x = 5,170.74

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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.