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Finding the Fourth Proportional to 7,840.42, 11,758.47 and 5,630.74

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Solution

The fourth proportional to 7,840.42, 11,758.47 and 5,630.74 is: 8,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.42 : 11,758.47 = 5,630.74 : x
  2. Step 2: Convert to fraction form
    7,840.42/11,758.47 = 5,630.74/x
  3. Step 3: Cross multiply
    7,840.42x = 11,758.47 × 5,630.74
  4. Step 4: Simplify right side
    7,840.42x = 66,208,887.37
  5. Step 5: Solve for x
    x = 66,208,887.37/7,840.42
  6. Step 6: Final answer
    x = 8,444.56

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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.