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Finding the Fourth Proportional to 10,840.83, 16,264.53 and 5,146.17

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Solution

The fourth proportional to 10,840.83, 16,264.53 and 5,146.17 is: 7,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.83 : 16,264.53 = 5,146.17 : x
  2. Step 2: Convert to fraction form
    10,840.83/16,264.53 = 5,146.17/x
  3. Step 3: Cross multiply
    10,840.83x = 16,264.53 × 5,146.17
  4. Step 4: Simplify right side
    10,840.83x = 83,699,956.06
  5. Step 5: Solve for x
    x = 83,699,956.06/10,840.83
  6. Step 6: Final answer
    x = 7,720.80

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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.