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Finding the Fourth Proportional to 7,319, 10,102.02 and 4,177.02

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Solution

The fourth proportional to 7,319, 10,102.02 and 4,177.02 is: 5,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319 : 10,102.02 = 4,177.02 : x
  2. Step 2: Convert to fraction form
    7,319/10,102.02 = 4,177.02/x
  3. Step 3: Cross multiply
    7,319x = 10,102.02 × 4,177.02
  4. Step 4: Simplify right side
    7,319x = 42,196,339.58
  5. Step 5: Solve for x
    x = 42,196,339.58/7,319
  6. Step 6: Final answer
    x = 5,765.31

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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.