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Finding the Fourth Proportional to 7,056.72, 10,572 and 3,542.60

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Solution

The fourth proportional to 7,056.72, 10,572 and 3,542.60 is: 5,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.72 : 10,572 = 3,542.60 : x
  2. Step 2: Convert to fraction form
    7,056.72/10,572 = 3,542.60/x
  3. Step 3: Cross multiply
    7,056.72x = 10,572 × 3,542.60
  4. Step 4: Simplify right side
    7,056.72x = 37,452,367.20
  5. Step 5: Solve for x
    x = 37,452,367.20/7,056.72
  6. Step 6: Final answer
    x = 5,307.33

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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.