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Finding the Fourth Proportional to 7,544.34, 10,411.14 and 4,358.12

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Solution

The fourth proportional to 7,544.34, 10,411.14 and 4,358.12 is: 6,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.34 : 10,411.14 = 4,358.12 : x
  2. Step 2: Convert to fraction form
    7,544.34/10,411.14 = 4,358.12/x
  3. Step 3: Cross multiply
    7,544.34x = 10,411.14 × 4,358.12
  4. Step 4: Simplify right side
    7,544.34x = 45,372,945.40
  5. Step 5: Solve for x
    x = 45,372,945.40/7,544.34
  6. Step 6: Final answer
    x = 6,014.17

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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.