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Finding the Fourth Proportional to 11,612.40, 16,024.90 and 6,307.16

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Solution

The fourth proportional to 11,612.40, 16,024.90 and 6,307.16 is: 8,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.40 : 16,024.90 = 6,307.16 : x
  2. Step 2: Convert to fraction form
    11,612.40/16,024.90 = 6,307.16/x
  3. Step 3: Cross multiply
    11,612.40x = 16,024.90 × 6,307.16
  4. Step 4: Simplify right side
    11,612.40x = 101,071,608.28
  5. Step 5: Solve for x
    x = 101,071,608.28/11,612.40
  6. Step 6: Final answer
    x = 8,703.77

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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.