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Finding the Fourth Proportional to 7,570.83, 10,442.16 and 5,213.73

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Solution

The fourth proportional to 7,570.83, 10,442.16 and 5,213.73 is: 7,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.83 : 10,442.16 = 5,213.73 : x
  2. Step 2: Convert to fraction form
    7,570.83/10,442.16 = 5,213.73/x
  3. Step 3: Cross multiply
    7,570.83x = 10,442.16 × 5,213.73
  4. Step 4: Simplify right side
    7,570.83x = 54,442,602.86
  5. Step 5: Solve for x
    x = 54,442,602.86/7,570.83
  6. Step 6: Final answer
    x = 7,191.10

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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.