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Finding the Fourth Proportional to 10,036.54, 13,855.44 and 6,502.60

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Solution

The fourth proportional to 10,036.54, 13,855.44 and 6,502.60 is: 8,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.54 : 13,855.44 = 6,502.60 : x
  2. Step 2: Convert to fraction form
    10,036.54/13,855.44 = 6,502.60/x
  3. Step 3: Cross multiply
    10,036.54x = 13,855.44 × 6,502.60
  4. Step 4: Simplify right side
    10,036.54x = 90,096,384.14
  5. Step 5: Solve for x
    x = 90,096,384.14/10,036.54
  6. Step 6: Final answer
    x = 8,976.84

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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.