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Finding the Fourth Proportional to 8,053.60, 11,114.32 and 4,516.64

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Solution

The fourth proportional to 8,053.60, 11,114.32 and 4,516.64 is: 6,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.60 : 11,114.32 = 4,516.64 : x
  2. Step 2: Convert to fraction form
    8,053.60/11,114.32 = 4,516.64/x
  3. Step 3: Cross multiply
    8,053.60x = 11,114.32 × 4,516.64
  4. Step 4: Simplify right side
    8,053.60x = 50,199,382.28
  5. Step 5: Solve for x
    x = 50,199,382.28/8,053.60
  6. Step 6: Final answer
    x = 6,233.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.