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Finding the Fourth Proportional to 7,349.32, 11,020.32 and 4,228.50

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Solution

The fourth proportional to 7,349.32, 11,020.32 and 4,228.50 is: 6,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.32 : 11,020.32 = 4,228.50 : x
  2. Step 2: Convert to fraction form
    7,349.32/11,020.32 = 4,228.50/x
  3. Step 3: Cross multiply
    7,349.32x = 11,020.32 × 4,228.50
  4. Step 4: Simplify right side
    7,349.32x = 46,599,423.12
  5. Step 5: Solve for x
    x = 46,599,423.12/7,349.32
  6. Step 6: Final answer
    x = 6,340.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.