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Finding the Fourth Proportional to 10,122.71, 13,970.72 and 5,873.86

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Solution

The fourth proportional to 10,122.71, 13,970.72 and 5,873.86 is: 8,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.71 : 13,970.72 = 5,873.86 : x
  2. Step 2: Convert to fraction form
    10,122.71/13,970.72 = 5,873.86/x
  3. Step 3: Cross multiply
    10,122.71x = 13,970.72 × 5,873.86
  4. Step 4: Simplify right side
    10,122.71x = 82,061,954.16
  5. Step 5: Solve for x
    x = 82,061,954.16/10,122.71
  6. Step 6: Final answer
    x = 8,106.72

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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.