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Finding the Fourth Proportional to 12,748.16, 17,592.42 and 7,082.88

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Solution

The fourth proportional to 12,748.16, 17,592.42 and 7,082.88 is: 9,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,748.16 : 17,592.42 = 7,082.88 : x
  2. Step 2: Convert to fraction form
    12,748.16/17,592.42 = 7,082.88/x
  3. Step 3: Cross multiply
    12,748.16x = 17,592.42 × 7,082.88
  4. Step 4: Simplify right side
    12,748.16x = 124,604,999.77
  5. Step 5: Solve for x
    x = 124,604,999.77/12,748.16
  6. Step 6: Final answer
    x = 9,774.36

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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.