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Finding the Fourth Proportional to 11,612.57, 16,024.91 and 6,307.20

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Solution

The fourth proportional to 11,612.57, 16,024.91 and 6,307.20 is: 8,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.57 : 16,024.91 = 6,307.20 : x
  2. Step 2: Convert to fraction form
    11,612.57/16,024.91 = 6,307.20/x
  3. Step 3: Cross multiply
    11,612.57x = 16,024.91 × 6,307.20
  4. Step 4: Simplify right side
    11,612.57x = 101,072,280.82
  5. Step 5: Solve for x
    x = 101,072,280.82/11,612.57
  6. Step 6: Final answer
    x = 8,703.70

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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.