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Finding the Fourth Proportional to 7,346.88, 10,137.60 and 4,202.40

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Solution

The fourth proportional to 7,346.88, 10,137.60 and 4,202.40 is: 5,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.88 : 10,137.60 = 4,202.40 : x
  2. Step 2: Convert to fraction form
    7,346.88/10,137.60 = 4,202.40/x
  3. Step 3: Cross multiply
    7,346.88x = 10,137.60 × 4,202.40
  4. Step 4: Simplify right side
    7,346.88x = 42,602,250.24
  5. Step 5: Solve for x
    x = 42,602,250.24/7,346.88
  6. Step 6: Final answer
    x = 5,798.69

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