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Finding the Fourth Proportional to 7,130.28, 10,696.94 and 4,210.76

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Solution

The fourth proportional to 7,130.28, 10,696.94 and 4,210.76 is: 6,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.28 : 10,696.94 = 4,210.76 : x
  2. Step 2: Convert to fraction form
    7,130.28/10,696.94 = 4,210.76/x
  3. Step 3: Cross multiply
    7,130.28x = 10,696.94 × 4,210.76
  4. Step 4: Simplify right side
    7,130.28x = 45,042,247.07
  5. Step 5: Solve for x
    x = 45,042,247.07/7,130.28
  6. Step 6: Final answer
    x = 6,317.04

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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.