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Finding the Fourth Proportional to 11,494.02, 15,857.94 and 6,457.55

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Solution

The fourth proportional to 11,494.02, 15,857.94 and 6,457.55 is: 8,909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.02 : 15,857.94 = 6,457.55 : x
  2. Step 2: Convert to fraction form
    11,494.02/15,857.94 = 6,457.55/x
  3. Step 3: Cross multiply
    11,494.02x = 15,857.94 × 6,457.55
  4. Step 4: Simplify right side
    11,494.02x = 102,403,336.94
  5. Step 5: Solve for x
    x = 102,403,336.94/11,494.02
  6. Step 6: Final answer
    x = 8,909.27

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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.