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Finding the Fourth Proportional to 7,148.40, 10,706.40 and 4,232.40

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Solution

The fourth proportional to 7,148.40, 10,706.40 and 4,232.40 is: 6,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.40 : 10,706.40 = 4,232.40 : x
  2. Step 2: Convert to fraction form
    7,148.40/10,706.40 = 4,232.40/x
  3. Step 3: Cross multiply
    7,148.40x = 10,706.40 × 4,232.40
  4. Step 4: Simplify right side
    7,148.40x = 45,313,767.36
  5. Step 5: Solve for x
    x = 45,313,767.36/7,148.40
  6. Step 6: Final answer
    x = 6,339.01

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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.