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Finding the Fourth Proportional to 7,812.42, 10,774.53 and 7,034.82

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Solution

The fourth proportional to 7,812.42, 10,774.53 and 7,034.82 is: 9,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.42 : 10,774.53 = 7,034.82 : x
  2. Step 2: Convert to fraction form
    7,812.42/10,774.53 = 7,034.82/x
  3. Step 3: Cross multiply
    7,812.42x = 10,774.53 × 7,034.82
  4. Step 4: Simplify right side
    7,812.42x = 75,796,879.13
  5. Step 5: Solve for x
    x = 75,796,879.13/7,812.42
  6. Step 6: Final answer
    x = 9,702.10

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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.