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Finding the Fourth Proportional to 11,493.60, 17,242.96 and 6,298.08

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Solution

The fourth proportional to 11,493.60, 17,242.96 and 6,298.08 is: 9,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.60 : 17,242.96 = 6,298.08 : x
  2. Step 2: Convert to fraction form
    11,493.60/17,242.96 = 6,298.08/x
  3. Step 3: Cross multiply
    11,493.60x = 17,242.96 × 6,298.08
  4. Step 4: Simplify right side
    11,493.60x = 108,597,541.52
  5. Step 5: Solve for x
    x = 108,597,541.52/11,493.60
  6. Step 6: Final answer
    x = 9,448.52

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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.