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Finding the Fourth Proportional to 11,223.23, 15,487.00 and 6,507

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Solution

The fourth proportional to 11,223.23, 15,487.00 and 6,507 is: 8,979.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.23 : 15,487.00 = 6,507 : x
  2. Step 2: Convert to fraction form
    11,223.23/15,487.00 = 6,507/x
  3. Step 3: Cross multiply
    11,223.23x = 15,487.00 × 6,507
  4. Step 4: Simplify right side
    11,223.23x = 100,773,892.73
  5. Step 5: Solve for x
    x = 100,773,892.73/11,223.23
  6. Step 6: Final answer
    x = 8,979.05

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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.