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Finding the Fourth Proportional to 7,316.64, 10,974 and 3,617.76

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Solution

The fourth proportional to 7,316.64, 10,974 and 3,617.76 is: 5,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316.64 : 10,974 = 3,617.76 : x
  2. Step 2: Convert to fraction form
    7,316.64/10,974 = 3,617.76/x
  3. Step 3: Cross multiply
    7,316.64x = 10,974 × 3,617.76
  4. Step 4: Simplify right side
    7,316.64x = 39,701,298.24
  5. Step 5: Solve for x
    x = 39,701,298.24/7,316.64
  6. Step 6: Final answer
    x = 5,426.17

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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.