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Finding the Fourth Proportional to 10,785.63, 14,884.50 and 5,874.58

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Solution

The fourth proportional to 10,785.63, 14,884.50 and 5,874.58 is: 8,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.63 : 14,884.50 = 5,874.58 : x
  2. Step 2: Convert to fraction form
    10,785.63/14,884.50 = 5,874.58/x
  3. Step 3: Cross multiply
    10,785.63x = 14,884.50 × 5,874.58
  4. Step 4: Simplify right side
    10,785.63x = 87,440,186.01
  5. Step 5: Solve for x
    x = 87,440,186.01/10,785.63
  6. Step 6: Final answer
    x = 8,107.10

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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.