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Finding the Fourth Proportional to 10,730.76, 16,097.64 and 3,335.76

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Solution

The fourth proportional to 10,730.76, 16,097.64 and 3,335.76 is: 5,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.76 : 16,097.64 = 3,335.76 : x
  2. Step 2: Convert to fraction form
    10,730.76/16,097.64 = 3,335.76/x
  3. Step 3: Cross multiply
    10,730.76x = 16,097.64 × 3,335.76
  4. Step 4: Simplify right side
    10,730.76x = 53,697,863.61
  5. Step 5: Solve for x
    x = 53,697,863.61/10,730.76
  6. Step 6: Final answer
    x = 5,004.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.