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Finding the Fourth Proportional to 12,715.98, 17,548.68 and 7,680.11

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Solution

The fourth proportional to 12,715.98, 17,548.68 and 7,680.11 is: 10,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.98 : 17,548.68 = 7,680.11 : x
  2. Step 2: Convert to fraction form
    12,715.98/17,548.68 = 7,680.11/x
  3. Step 3: Cross multiply
    12,715.98x = 17,548.68 × 7,680.11
  4. Step 4: Simplify right side
    12,715.98x = 134,775,705.01
  5. Step 5: Solve for x
    x = 134,775,705.01/12,715.98
  6. Step 6: Final answer
    x = 10,598.92

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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.