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Finding the Fourth Proportional to 7,830.69, 11,737.51 and 3,668.10

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Solution

The fourth proportional to 7,830.69, 11,737.51 and 3,668.10 is: 5,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.69 : 11,737.51 = 3,668.10 : x
  2. Step 2: Convert to fraction form
    7,830.69/11,737.51 = 3,668.10/x
  3. Step 3: Cross multiply
    7,830.69x = 11,737.51 × 3,668.10
  4. Step 4: Simplify right side
    7,830.69x = 43,054,360.43
  5. Step 5: Solve for x
    x = 43,054,360.43/7,830.69
  6. Step 6: Final answer
    x = 5,498.16

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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.