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Finding the Fourth Proportional to 7,810.14, 11,697.54 and 6,042.72

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Solution

The fourth proportional to 7,810.14, 11,697.54 and 6,042.72 is: 9,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.14 : 11,697.54 = 6,042.72 : x
  2. Step 2: Convert to fraction form
    7,810.14/11,697.54 = 6,042.72/x
  3. Step 3: Cross multiply
    7,810.14x = 11,697.54 × 6,042.72
  4. Step 4: Simplify right side
    7,810.14x = 70,684,958.91
  5. Step 5: Solve for x
    x = 70,684,958.91/7,810.14
  6. Step 6: Final answer
    x = 9,050.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.