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Finding the Fourth Proportional to 7,006.64, 10,513.06 and 3,674.10

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Solution

The fourth proportional to 7,006.64, 10,513.06 and 3,674.10 is: 5,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.64 : 10,513.06 = 3,674.10 : x
  2. Step 2: Convert to fraction form
    7,006.64/10,513.06 = 3,674.10/x
  3. Step 3: Cross multiply
    7,006.64x = 10,513.06 × 3,674.10
  4. Step 4: Simplify right side
    7,006.64x = 38,625,962.81
  5. Step 5: Solve for x
    x = 38,625,962.81/7,006.64
  6. Step 6: Final answer
    x = 5,512.77

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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.