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Finding the Fourth Proportional to 7,698.24, 11,545.08 and 3,314.67

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Solution

The fourth proportional to 7,698.24, 11,545.08 and 3,314.67 is: 4,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.24 : 11,545.08 = 3,314.67 : x
  2. Step 2: Convert to fraction form
    7,698.24/11,545.08 = 3,314.67/x
  3. Step 3: Cross multiply
    7,698.24x = 11,545.08 × 3,314.67
  4. Step 4: Simplify right side
    7,698.24x = 38,268,158.19
  5. Step 5: Solve for x
    x = 38,268,158.19/7,698.24
  6. Step 6: Final answer
    x = 4,971.03

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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.