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Finding the Fourth Proportional to 7,840.53, 10,813.59 and 6,894.35

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Solution

The fourth proportional to 7,840.53, 10,813.59 and 6,894.35 is: 9,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.53 : 10,813.59 = 6,894.35 : x
  2. Step 2: Convert to fraction form
    7,840.53/10,813.59 = 6,894.35/x
  3. Step 3: Cross multiply
    7,840.53x = 10,813.59 × 6,894.35
  4. Step 4: Simplify right side
    7,840.53x = 74,552,620.15
  5. Step 5: Solve for x
    x = 74,552,620.15/7,840.53
  6. Step 6: Final answer
    x = 9,508.62

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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.