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Finding the Fourth Proportional to 7,455.82, 10,288.90 and 4,098.60

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Solution

The fourth proportional to 7,455.82, 10,288.90 and 4,098.60 is: 5,656.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,455.82 : 10,288.90 = 4,098.60 : x
  2. Step 2: Convert to fraction form
    7,455.82/10,288.90 = 4,098.60/x
  3. Step 3: Cross multiply
    7,455.82x = 10,288.90 × 4,098.60
  4. Step 4: Simplify right side
    7,455.82x = 42,170,122.54
  5. Step 5: Solve for x
    x = 42,170,122.54/7,455.82
  6. Step 6: Final answer
    x = 5,656.00

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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.