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Finding the Fourth Proportional to 7,749.42, 10,695.90 and 5,097.07

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Solution

The fourth proportional to 7,749.42, 10,695.90 and 5,097.07 is: 7,035.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.42 : 10,695.90 = 5,097.07 : x
  2. Step 2: Convert to fraction form
    7,749.42/10,695.90 = 5,097.07/x
  3. Step 3: Cross multiply
    7,749.42x = 10,695.90 × 5,097.07
  4. Step 4: Simplify right side
    7,749.42x = 54,517,751.01
  5. Step 5: Solve for x
    x = 54,517,751.01/7,749.42
  6. Step 6: Final answer
    x = 7,035.08

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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.