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Finding the Fourth Proportional to 7,841.40, 11,755.94 and 5,368.74

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Solution

The fourth proportional to 7,841.40, 11,755.94 and 5,368.74 is: 8,048.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.40 : 11,755.94 = 5,368.74 : x
  2. Step 2: Convert to fraction form
    7,841.40/11,755.94 = 5,368.74/x
  3. Step 3: Cross multiply
    7,841.40x = 11,755.94 × 5,368.74
  4. Step 4: Simplify right side
    7,841.40x = 63,114,585.32
  5. Step 5: Solve for x
    x = 63,114,585.32/7,841.40
  6. Step 6: Final answer
    x = 8,048.89

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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.