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Finding the Fourth Proportional to 11,312.61, 16,963.37 and 4,647.90

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Solution

The fourth proportional to 11,312.61, 16,963.37 and 4,647.90 is: 6,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.61 : 16,963.37 = 4,647.90 : x
  2. Step 2: Convert to fraction form
    11,312.61/16,963.37 = 4,647.90/x
  3. Step 3: Cross multiply
    11,312.61x = 16,963.37 × 4,647.90
  4. Step 4: Simplify right side
    11,312.61x = 78,844,024.18
  5. Step 5: Solve for x
    x = 78,844,024.18/11,312.61
  6. Step 6: Final answer
    x = 6,969.57

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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.