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Finding the Fourth Proportional to 7,438.64, 10,254.60 and 5,667.17

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Solution

The fourth proportional to 7,438.64, 10,254.60 and 5,667.17 is: 7,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.64 : 10,254.60 = 5,667.17 : x
  2. Step 2: Convert to fraction form
    7,438.64/10,254.60 = 5,667.17/x
  3. Step 3: Cross multiply
    7,438.64x = 10,254.60 × 5,667.17
  4. Step 4: Simplify right side
    7,438.64x = 58,114,510.21
  5. Step 5: Solve for x
    x = 58,114,510.21/7,438.64
  6. Step 6: Final answer
    x = 7,812.52

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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.