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Finding the Fourth Proportional to 7,106.56, 10,661.64 and 3,210.04

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Solution

The fourth proportional to 7,106.56, 10,661.64 and 3,210.04 is: 4,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.56 : 10,661.64 = 3,210.04 : x
  2. Step 2: Convert to fraction form
    7,106.56/10,661.64 = 3,210.04/x
  3. Step 3: Cross multiply
    7,106.56x = 10,661.64 × 3,210.04
  4. Step 4: Simplify right side
    7,106.56x = 34,224,290.87
  5. Step 5: Solve for x
    x = 34,224,290.87/7,106.56
  6. Step 6: Final answer
    x = 4,815.87

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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.