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Finding the Fourth Proportional to 11,510.35, 15,884.55 and 6,405.92

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Solution

The fourth proportional to 11,510.35, 15,884.55 and 6,405.92 is: 8,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.35 : 15,884.55 = 6,405.92 : x
  2. Step 2: Convert to fraction form
    11,510.35/15,884.55 = 6,405.92/x
  3. Step 3: Cross multiply
    11,510.35x = 15,884.55 × 6,405.92
  4. Step 4: Simplify right side
    11,510.35x = 101,755,156.54
  5. Step 5: Solve for x
    x = 101,755,156.54/11,510.35
  6. Step 6: Final answer
    x = 8,840.32

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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.