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Finding the Fourth Proportional to 7,440.53, 10,267.14 and 4,254.64

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Solution

The fourth proportional to 7,440.53, 10,267.14 and 4,254.64 is: 5,870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440.53 : 10,267.14 = 4,254.64 : x
  2. Step 2: Convert to fraction form
    7,440.53/10,267.14 = 4,254.64/x
  3. Step 3: Cross multiply
    7,440.53x = 10,267.14 × 4,254.64
  4. Step 4: Simplify right side
    7,440.53x = 43,683,008.64
  5. Step 5: Solve for x
    x = 43,683,008.64/7,440.53
  6. Step 6: Final answer
    x = 5,870.96

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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.