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Finding the Fourth Proportional to 7,911.22, 11,841.10 and 5,830.40

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Solution

The fourth proportional to 7,911.22, 11,841.10 and 5,830.40 is: 8,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.22 : 11,841.10 = 5,830.40 : x
  2. Step 2: Convert to fraction form
    7,911.22/11,841.10 = 5,830.40/x
  3. Step 3: Cross multiply
    7,911.22x = 11,841.10 × 5,830.40
  4. Step 4: Simplify right side
    7,911.22x = 69,038,349.44
  5. Step 5: Solve for x
    x = 69,038,349.44/7,911.22
  6. Step 6: Final answer
    x = 8,726.64

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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.