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Finding the Fourth Proportional to 11,333, 15,639.54 and 6,365

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Solution

The fourth proportional to 11,333, 15,639.54 and 6,365 is: 8,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333 : 15,639.54 = 6,365 : x
  2. Step 2: Convert to fraction form
    11,333/15,639.54 = 6,365/x
  3. Step 3: Cross multiply
    11,333x = 15,639.54 × 6,365
  4. Step 4: Simplify right side
    11,333x = 99,545,672.10
  5. Step 5: Solve for x
    x = 99,545,672.10/11,333
  6. Step 6: Final answer
    x = 8,783.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.