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Finding the Fourth Proportional to 8,768.93, 13,090.97 and 8,461.40

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Solution

The fourth proportional to 8,768.93, 13,090.97 and 8,461.40 is: 12,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768.93 : 13,090.97 = 8,461.40 : x
  2. Step 2: Convert to fraction form
    8,768.93/13,090.97 = 8,461.40/x
  3. Step 3: Cross multiply
    8,768.93x = 13,090.97 × 8,461.40
  4. Step 4: Simplify right side
    8,768.93x = 110,767,889.26
  5. Step 5: Solve for x
    x = 110,767,889.26/8,768.93
  6. Step 6: Final answer
    x = 12,631.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.