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Finding the Fourth Proportional to 10,869.85, 14,992.23 and 7,288.86

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Solution

The fourth proportional to 10,869.85, 14,992.23 and 7,288.86 is: 10,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.85 : 14,992.23 = 7,288.86 : x
  2. Step 2: Convert to fraction form
    10,869.85/14,992.23 = 7,288.86/x
  3. Step 3: Cross multiply
    10,869.85x = 14,992.23 × 7,288.86
  4. Step 4: Simplify right side
    10,869.85x = 109,276,255.70
  5. Step 5: Solve for x
    x = 109,276,255.70/10,869.85
  6. Step 6: Final answer
    x = 10,053.16

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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.