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Finding the Fourth Proportional to 11,318.01, 15,613.61 and 7,066.32

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Solution

The fourth proportional to 11,318.01, 15,613.61 and 7,066.32 is: 9,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,318.01 : 15,613.61 = 7,066.32 : x
  2. Step 2: Convert to fraction form
    11,318.01/15,613.61 = 7,066.32/x
  3. Step 3: Cross multiply
    11,318.01x = 15,613.61 × 7,066.32
  4. Step 4: Simplify right side
    11,318.01x = 110,330,729.28
  5. Step 5: Solve for x
    x = 110,330,729.28/11,318.01
  6. Step 6: Final answer
    x = 9,748.24

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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.