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Finding the Fourth Proportional to 12,510.42, 17,264.34 and 6,845.68

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Solution

The fourth proportional to 12,510.42, 17,264.34 and 6,845.68 is: 9,447.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,510.42 : 17,264.34 = 6,845.68 : x
  2. Step 2: Convert to fraction form
    12,510.42/17,264.34 = 6,845.68/x
  3. Step 3: Cross multiply
    12,510.42x = 17,264.34 × 6,845.68
  4. Step 4: Simplify right side
    12,510.42x = 118,186,147.05
  5. Step 5: Solve for x
    x = 118,186,147.05/12,510.42
  6. Step 6: Final answer
    x = 9,447.02

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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.