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Finding the Fourth Proportional to 8,774.66, 12,105.60 and 5,411.63

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Solution

The fourth proportional to 8,774.66, 12,105.60 and 5,411.63 is: 7,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.66 : 12,105.60 = 5,411.63 : x
  2. Step 2: Convert to fraction form
    8,774.66/12,105.60 = 5,411.63/x
  3. Step 3: Cross multiply
    8,774.66x = 12,105.60 × 5,411.63
  4. Step 4: Simplify right side
    8,774.66x = 65,511,038.10
  5. Step 5: Solve for x
    x = 65,511,038.10/8,774.66
  6. Step 6: Final answer
    x = 7,465.93

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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.