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Finding the Fourth Proportional to 10,396.49, 15,594.80 and 4,157.02

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Solution

The fourth proportional to 10,396.49, 15,594.80 and 4,157.02 is: 6,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.49 : 15,594.80 = 4,157.02 : x
  2. Step 2: Convert to fraction form
    10,396.49/15,594.80 = 4,157.02/x
  3. Step 3: Cross multiply
    10,396.49x = 15,594.80 × 4,157.02
  4. Step 4: Simplify right side
    10,396.49x = 64,827,894.20
  5. Step 5: Solve for x
    x = 64,827,894.20/10,396.49
  6. Step 6: Final answer
    x = 6,235.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.