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Finding the Fourth Proportional to 7,750.91, 10,696.29 and 4,214.11

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Solution

The fourth proportional to 7,750.91, 10,696.29 and 4,214.11 is: 5,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.91 : 10,696.29 = 4,214.11 : x
  2. Step 2: Convert to fraction form
    7,750.91/10,696.29 = 4,214.11/x
  3. Step 3: Cross multiply
    7,750.91x = 10,696.29 × 4,214.11
  4. Step 4: Simplify right side
    7,750.91x = 45,075,320.16
  5. Step 5: Solve for x
    x = 45,075,320.16/7,750.91
  6. Step 6: Final answer
    x = 5,815.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.