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Finding the Fourth Proportional to 11,096.46, 15,287.06 and 7,733.16

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Solution

The fourth proportional to 11,096.46, 15,287.06 and 7,733.16 is: 10,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.46 : 15,287.06 = 7,733.16 : x
  2. Step 2: Convert to fraction form
    11,096.46/15,287.06 = 7,733.16/x
  3. Step 3: Cross multiply
    11,096.46x = 15,287.06 × 7,733.16
  4. Step 4: Simplify right side
    11,096.46x = 118,217,242.24
  5. Step 5: Solve for x
    x = 118,217,242.24/11,096.46
  6. Step 6: Final answer
    x = 10,653.60

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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.