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Finding the Fourth Proportional to 10,352.63, 14,282.88 and 5,873.79

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Solution

The fourth proportional to 10,352.63, 14,282.88 and 5,873.79 is: 8,103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.63 : 14,282.88 = 5,873.79 : x
  2. Step 2: Convert to fraction form
    10,352.63/14,282.88 = 5,873.79/x
  3. Step 3: Cross multiply
    10,352.63x = 14,282.88 × 5,873.79
  4. Step 4: Simplify right side
    10,352.63x = 83,894,633.77
  5. Step 5: Solve for x
    x = 83,894,633.77/10,352.63
  6. Step 6: Final answer
    x = 8,103.70

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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.