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Finding the Fourth Proportional to 10,856.93, 14,983.62 and 7,834.55

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Solution

The fourth proportional to 10,856.93, 14,983.62 and 7,834.55 is: 10,812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.93 : 14,983.62 = 7,834.55 : x
  2. Step 2: Convert to fraction form
    10,856.93/14,983.62 = 7,834.55/x
  3. Step 3: Cross multiply
    10,856.93x = 14,983.62 × 7,834.55
  4. Step 4: Simplify right side
    10,856.93x = 117,389,845.15
  5. Step 5: Solve for x
    x = 117,389,845.15/10,856.93
  6. Step 6: Final answer
    x = 10,812.44

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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.