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Finding the Fourth Proportional to 11,157.15, 15,407.28 and 7,185.18

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Solution

The fourth proportional to 11,157.15, 15,407.28 and 7,185.18 is: 9,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.15 : 15,407.28 = 7,185.18 : x
  2. Step 2: Convert to fraction form
    11,157.15/15,407.28 = 7,185.18/x
  3. Step 3: Cross multiply
    11,157.15x = 15,407.28 × 7,185.18
  4. Step 4: Simplify right side
    11,157.15x = 110,704,080.11
  5. Step 5: Solve for x
    x = 110,704,080.11/11,157.15
  6. Step 6: Final answer
    x = 9,922.25

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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.