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Finding the Fourth Proportional to 7,100.76, 10,644.66 and 3,203.04

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Solution

The fourth proportional to 7,100.76, 10,644.66 and 3,203.04 is: 4,801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.76 : 10,644.66 = 3,203.04 : x
  2. Step 2: Convert to fraction form
    7,100.76/10,644.66 = 3,203.04/x
  3. Step 3: Cross multiply
    7,100.76x = 10,644.66 × 3,203.04
  4. Step 4: Simplify right side
    7,100.76x = 34,095,271.77
  5. Step 5: Solve for x
    x = 34,095,271.77/7,100.76
  6. Step 6: Final answer
    x = 4,801.64

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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.