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Finding the Fourth Proportional to 7,455.74, 10,289.12 and 4,098.64

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Solution

The fourth proportional to 7,455.74, 10,289.12 and 4,098.64 is: 5,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,455.74 : 10,289.12 = 4,098.64 : x
  2. Step 2: Convert to fraction form
    7,455.74/10,289.12 = 4,098.64/x
  3. Step 3: Cross multiply
    7,455.74x = 10,289.12 × 4,098.64
  4. Step 4: Simplify right side
    7,455.74x = 42,171,398.80
  5. Step 5: Solve for x
    x = 42,171,398.80/7,455.74
  6. Step 6: Final answer
    x = 5,656.23

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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.