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Finding the Fourth Proportional to 10,853.81, 14,992.32 and 7,490.69

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Solution

The fourth proportional to 10,853.81, 14,992.32 and 7,490.69 is: 10,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.81 : 14,992.32 = 7,490.69 : x
  2. Step 2: Convert to fraction form
    10,853.81/14,992.32 = 7,490.69/x
  3. Step 3: Cross multiply
    10,853.81x = 14,992.32 × 7,490.69
  4. Step 4: Simplify right side
    10,853.81x = 112,302,821.50
  5. Step 5: Solve for x
    x = 112,302,821.50/10,853.81
  6. Step 6: Final answer
    x = 10,346.86

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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.