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Finding the Fourth Proportional to 12,586.12, 17,369.34 and 6,997

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Solution

The fourth proportional to 12,586.12, 17,369.34 and 6,997 is: 9,656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.12 : 17,369.34 = 6,997 : x
  2. Step 2: Convert to fraction form
    12,586.12/17,369.34 = 6,997/x
  3. Step 3: Cross multiply
    12,586.12x = 17,369.34 × 6,997
  4. Step 4: Simplify right side
    12,586.12x = 121,533,271.98
  5. Step 5: Solve for x
    x = 121,533,271.98/12,586.12
  6. Step 6: Final answer
    x = 9,656.13

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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.