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Finding the Fourth Proportional to 10,858.93, 16,280.19 and 8,666.46

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Solution

The fourth proportional to 10,858.93, 16,280.19 and 8,666.46 is: 12,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.93 : 16,280.19 = 8,666.46 : x
  2. Step 2: Convert to fraction form
    10,858.93/16,280.19 = 8,666.46/x
  3. Step 3: Cross multiply
    10,858.93x = 16,280.19 × 8,666.46
  4. Step 4: Simplify right side
    10,858.93x = 141,091,615.43
  5. Step 5: Solve for x
    x = 141,091,615.43/10,858.93
  6. Step 6: Final answer
    x = 12,993.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.