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Finding the Fourth Proportional to 7,894.06, 11,840.18 and 6,586.14

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Solution

The fourth proportional to 7,894.06, 11,840.18 and 6,586.14 is: 9,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.06 : 11,840.18 = 6,586.14 : x
  2. Step 2: Convert to fraction form
    7,894.06/11,840.18 = 6,586.14/x
  3. Step 3: Cross multiply
    7,894.06x = 11,840.18 × 6,586.14
  4. Step 4: Simplify right side
    7,894.06x = 77,981,083.11
  5. Step 5: Solve for x
    x = 77,981,083.11/7,894.06
  6. Step 6: Final answer
    x = 9,878.45

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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.