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Finding the Fourth Proportional to 7,095.60, 10,644.76 and 3,200

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Solution

The fourth proportional to 7,095.60, 10,644.76 and 3,200 is: 4,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.60 : 10,644.76 = 3,200 : x
  2. Step 2: Convert to fraction form
    7,095.60/10,644.76 = 3,200/x
  3. Step 3: Cross multiply
    7,095.60x = 10,644.76 × 3,200
  4. Step 4: Simplify right side
    7,095.60x = 34,063,232
  5. Step 5: Solve for x
    x = 34,063,232/7,095.60
  6. Step 6: Final answer
    x = 4,800.62

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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.