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Finding the Fourth Proportional to 11,048.64, 15,247.68 and 7,316.16

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Solution

The fourth proportional to 11,048.64, 15,247.68 and 7,316.16 is: 10,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048.64 : 15,247.68 = 7,316.16 : x
  2. Step 2: Convert to fraction form
    11,048.64/15,247.68 = 7,316.16/x
  3. Step 3: Cross multiply
    11,048.64x = 15,247.68 × 7,316.16
  4. Step 4: Simplify right side
    11,048.64x = 111,554,466.51
  5. Step 5: Solve for x
    x = 111,554,466.51/11,048.64
  6. Step 6: Final answer
    x = 10,096.67

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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.