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Finding the Fourth Proportional to 4,800.64, 7,188.48 and 4,111.74

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Solution

The fourth proportional to 4,800.64, 7,188.48 and 4,111.74 is: 6,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.64 : 7,188.48 = 4,111.74 : x
  2. Step 2: Convert to fraction form
    4,800.64/7,188.48 = 4,111.74/x
  3. Step 3: Cross multiply
    4,800.64x = 7,188.48 × 4,111.74
  4. Step 4: Simplify right side
    4,800.64x = 29,557,160.76
  5. Step 5: Solve for x
    x = 29,557,160.76/4,800.64
  6. Step 6: Final answer
    x = 6,156.92

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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.