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Finding the Fourth Proportional to 9,157.03, 13,742.15 and 7,082.08

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Solution

The fourth proportional to 9,157.03, 13,742.15 and 7,082.08 is: 10,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.03 : 13,742.15 = 7,082.08 : x
  2. Step 2: Convert to fraction form
    9,157.03/13,742.15 = 7,082.08/x
  3. Step 3: Cross multiply
    9,157.03x = 13,742.15 × 7,082.08
  4. Step 4: Simplify right side
    9,157.03x = 97,323,005.67
  5. Step 5: Solve for x
    x = 97,323,005.67/9,157.03
  6. Step 6: Final answer
    x = 10,628.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.