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Finding the Fourth Proportional to 11,381.06, 15,706.15 and 6,276.65

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Solution

The fourth proportional to 11,381.06, 15,706.15 and 6,276.65 is: 8,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.06 : 15,706.15 = 6,276.65 : x
  2. Step 2: Convert to fraction form
    11,381.06/15,706.15 = 6,276.65/x
  3. Step 3: Cross multiply
    11,381.06x = 15,706.15 × 6,276.65
  4. Step 4: Simplify right side
    11,381.06x = 98,582,054.06
  5. Step 5: Solve for x
    x = 98,582,054.06/11,381.06
  6. Step 6: Final answer
    x = 8,661.94

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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.