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Finding the Fourth Proportional to 11,504.24, 15,875.16 and 6,536.24

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Solution

The fourth proportional to 11,504.24, 15,875.16 and 6,536.24 is: 9,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.24 : 15,875.16 = 6,536.24 : x
  2. Step 2: Convert to fraction form
    11,504.24/15,875.16 = 6,536.24/x
  3. Step 3: Cross multiply
    11,504.24x = 15,875.16 × 6,536.24
  4. Step 4: Simplify right side
    11,504.24x = 103,763,855.80
  5. Step 5: Solve for x
    x = 103,763,855.80/11,504.24
  6. Step 6: Final answer
    x = 9,019.62

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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.