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Finding the Fourth Proportional to 7,802.90, 11,689.53 and 4,633.65

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Solution

The fourth proportional to 7,802.90, 11,689.53 and 4,633.65 is: 6,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.90 : 11,689.53 = 4,633.65 : x
  2. Step 2: Convert to fraction form
    7,802.90/11,689.53 = 4,633.65/x
  3. Step 3: Cross multiply
    7,802.90x = 11,689.53 × 4,633.65
  4. Step 4: Simplify right side
    7,802.90x = 54,165,190.68
  5. Step 5: Solve for x
    x = 54,165,190.68/7,802.90
  6. Step 6: Final answer
    x = 6,941.67

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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.