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Finding the Fourth Proportional to 7,007.54, 10,513.74 and 3,114.68

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Solution

The fourth proportional to 7,007.54, 10,513.74 and 3,114.68 is: 4,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.54 : 10,513.74 = 3,114.68 : x
  2. Step 2: Convert to fraction form
    7,007.54/10,513.74 = 3,114.68/x
  3. Step 3: Cross multiply
    7,007.54x = 10,513.74 × 3,114.68
  4. Step 4: Simplify right side
    7,007.54x = 32,746,935.70
  5. Step 5: Solve for x
    x = 32,746,935.70/7,007.54
  6. Step 6: Final answer
    x = 4,673.10

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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.