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Finding the Fourth Proportional to 10,350.64, 14,283.48 and 5,874.64

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Solution

The fourth proportional to 10,350.64, 14,283.48 and 5,874.64 is: 8,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350.64 : 14,283.48 = 5,874.64 : x
  2. Step 2: Convert to fraction form
    10,350.64/14,283.48 = 5,874.64/x
  3. Step 3: Cross multiply
    10,350.64x = 14,283.48 × 5,874.64
  4. Step 4: Simplify right side
    10,350.64x = 83,910,302.95
  5. Step 5: Solve for x
    x = 83,910,302.95/10,350.64
  6. Step 6: Final answer
    x = 8,106.77

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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.