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Finding the Fourth Proportional to 7,894.53, 11,840.89 and 2,051.60

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Solution

The fourth proportional to 7,894.53, 11,840.89 and 2,051.60 is: 3,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.53 : 11,840.89 = 2,051.60 : x
  2. Step 2: Convert to fraction form
    7,894.53/11,840.89 = 2,051.60/x
  3. Step 3: Cross multiply
    7,894.53x = 11,840.89 × 2,051.60
  4. Step 4: Simplify right side
    7,894.53x = 24,292,749.99
  5. Step 5: Solve for x
    x = 24,292,749.99/7,894.53
  6. Step 6: Final answer
    x = 3,077.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.