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Finding the Fourth Proportional to 7,055.76, 10,585.20 and 2,375.60

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Solution

The fourth proportional to 7,055.76, 10,585.20 and 2,375.60 is: 3,563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.76 : 10,585.20 = 2,375.60 : x
  2. Step 2: Convert to fraction form
    7,055.76/10,585.20 = 2,375.60/x
  3. Step 3: Cross multiply
    7,055.76x = 10,585.20 × 2,375.60
  4. Step 4: Simplify right side
    7,055.76x = 25,146,201.12
  5. Step 5: Solve for x
    x = 25,146,201.12/7,055.76
  6. Step 6: Final answer
    x = 3,563.93

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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.