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Finding the Fourth Proportional to 8,811.76, 12,156.60 and 5,830.96

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Solution

The fourth proportional to 8,811.76, 12,156.60 and 5,830.96 is: 8,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.76 : 12,156.60 = 5,830.96 : x
  2. Step 2: Convert to fraction form
    8,811.76/12,156.60 = 5,830.96/x
  3. Step 3: Cross multiply
    8,811.76x = 12,156.60 × 5,830.96
  4. Step 4: Simplify right side
    8,811.76x = 70,884,648.34
  5. Step 5: Solve for x
    x = 70,884,648.34/8,811.76
  6. Step 6: Final answer
    x = 8,044.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.