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Finding the Fourth Proportional to 7,745.96, 11,590.23 and 4,627.67

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Solution

The fourth proportional to 7,745.96, 11,590.23 and 4,627.67 is: 6,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.96 : 11,590.23 = 4,627.67 : x
  2. Step 2: Convert to fraction form
    7,745.96/11,590.23 = 4,627.67/x
  3. Step 3: Cross multiply
    7,745.96x = 11,590.23 × 4,627.67
  4. Step 4: Simplify right side
    7,745.96x = 53,635,701.71
  5. Step 5: Solve for x
    x = 53,635,701.71/7,745.96
  6. Step 6: Final answer
    x = 6,924.35

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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.