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Finding the Fourth Proportional to 7,750.25, 10,697.04 and 5,097.90

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Solution

The fourth proportional to 7,750.25, 10,697.04 and 5,097.90 is: 7,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.25 : 10,697.04 = 5,097.90 : x
  2. Step 2: Convert to fraction form
    7,750.25/10,697.04 = 5,097.90/x
  3. Step 3: Cross multiply
    7,750.25x = 10,697.04 × 5,097.90
  4. Step 4: Simplify right side
    7,750.25x = 54,532,440.22
  5. Step 5: Solve for x
    x = 54,532,440.22/7,750.25
  6. Step 6: Final answer
    x = 7,036.22

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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.