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Finding the Fourth Proportional to 7,746.72, 11,607.72 and 4,043.52

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Solution

The fourth proportional to 7,746.72, 11,607.72 and 4,043.52 is: 6,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.72 : 11,607.72 = 4,043.52 : x
  2. Step 2: Convert to fraction form
    7,746.72/11,607.72 = 4,043.52/x
  3. Step 3: Cross multiply
    7,746.72x = 11,607.72 × 4,043.52
  4. Step 4: Simplify right side
    7,746.72x = 46,936,047.97
  5. Step 5: Solve for x
    x = 46,936,047.97/7,746.72
  6. Step 6: Final answer
    x = 6,058.83

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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.