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Finding the Fourth Proportional to 10,731.96, 14,800.32 and 7,199.76

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Solution

The fourth proportional to 10,731.96, 14,800.32 and 7,199.76 is: 9,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.96 : 14,800.32 = 7,199.76 : x
  2. Step 2: Convert to fraction form
    10,731.96/14,800.32 = 7,199.76/x
  3. Step 3: Cross multiply
    10,731.96x = 14,800.32 × 7,199.76
  4. Step 4: Simplify right side
    10,731.96x = 106,558,751.92
  5. Step 5: Solve for x
    x = 106,558,751.92/10,731.96
  6. Step 6: Final answer
    x = 9,929.10

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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.