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Finding the Fourth Proportional to 7,130.10, 10,697.58 and 3,843.51

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Solution

The fourth proportional to 7,130.10, 10,697.58 and 3,843.51 is: 5,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.10 : 10,697.58 = 3,843.51 : x
  2. Step 2: Convert to fraction form
    7,130.10/10,697.58 = 3,843.51/x
  3. Step 3: Cross multiply
    7,130.10x = 10,697.58 × 3,843.51
  4. Step 4: Simplify right side
    7,130.10x = 41,116,255.71
  5. Step 5: Solve for x
    x = 41,116,255.71/7,130.10
  6. Step 6: Final answer
    x = 5,766.57

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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.