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Finding the Fourth Proportional to 10,290.67, 14,195.91 and 6,507.46

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Solution

The fourth proportional to 10,290.67, 14,195.91 and 6,507.46 is: 8,977.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.67 : 14,195.91 = 6,507.46 : x
  2. Step 2: Convert to fraction form
    10,290.67/14,195.91 = 6,507.46/x
  3. Step 3: Cross multiply
    10,290.67x = 14,195.91 × 6,507.46
  4. Step 4: Simplify right side
    10,290.67x = 92,379,316.49
  5. Step 5: Solve for x
    x = 92,379,316.49/10,290.67
  6. Step 6: Final answer
    x = 8,977.00

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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.