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Finding the Fourth Proportional to 7,232.40, 10,852.65 and 3,071.70

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Solution

The fourth proportional to 7,232.40, 10,852.65 and 3,071.70 is: 4,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.40 : 10,852.65 = 3,071.70 : x
  2. Step 2: Convert to fraction form
    7,232.40/10,852.65 = 3,071.70/x
  3. Step 3: Cross multiply
    7,232.40x = 10,852.65 × 3,071.70
  4. Step 4: Simplify right side
    7,232.40x = 33,336,085.01
  5. Step 5: Solve for x
    x = 33,336,085.01/7,232.40
  6. Step 6: Final answer
    x = 4,609.27

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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.