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Finding the Fourth Proportional to 11,504.49, 15,875.83 and 6,468.59

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Solution

The fourth proportional to 11,504.49, 15,875.83 and 6,468.59 is: 8,926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.49 : 15,875.83 = 6,468.59 : x
  2. Step 2: Convert to fraction form
    11,504.49/15,875.83 = 6,468.59/x
  3. Step 3: Cross multiply
    11,504.49x = 15,875.83 × 6,468.59
  4. Step 4: Simplify right side
    11,504.49x = 102,694,235.18
  5. Step 5: Solve for x
    x = 102,694,235.18/11,504.49
  6. Step 6: Final answer
    x = 8,926.45

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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.