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Finding the Fourth Proportional to 11,234.64, 15,506.16 and 7,458.12

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Solution

The fourth proportional to 11,234.64, 15,506.16 and 7,458.12 is: 10,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.64 : 15,506.16 = 7,458.12 : x
  2. Step 2: Convert to fraction form
    11,234.64/15,506.16 = 7,458.12/x
  3. Step 3: Cross multiply
    11,234.64x = 15,506.16 × 7,458.12
  4. Step 4: Simplify right side
    11,234.64x = 115,646,802.02
  5. Step 5: Solve for x
    x = 115,646,802.02/11,234.64
  6. Step 6: Final answer
    x = 10,293.77

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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.