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Finding the Fourth Proportional to 7,753.56, 10,700.19 and 4,442.20

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Solution

The fourth proportional to 7,753.56, 10,700.19 and 4,442.20 is: 6,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.56 : 10,700.19 = 4,442.20 : x
  2. Step 2: Convert to fraction form
    7,753.56/10,700.19 = 4,442.20/x
  3. Step 3: Cross multiply
    7,753.56x = 10,700.19 × 4,442.20
  4. Step 4: Simplify right side
    7,753.56x = 47,532,384.02
  5. Step 5: Solve for x
    x = 47,532,384.02/7,753.56
  6. Step 6: Final answer
    x = 6,130.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.