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Finding the Fourth Proportional to 11,520.10, 15,899.72 and 8,510.85

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Solution

The fourth proportional to 11,520.10, 15,899.72 and 8,510.85 is: 11,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.10 : 15,899.72 = 8,510.85 : x
  2. Step 2: Convert to fraction form
    11,520.10/15,899.72 = 8,510.85/x
  3. Step 3: Cross multiply
    11,520.10x = 15,899.72 × 8,510.85
  4. Step 4: Simplify right side
    11,520.10x = 135,320,068.63
  5. Step 5: Solve for x
    x = 135,320,068.63/11,520.10
  6. Step 6: Final answer
    x = 11,746.43

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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.