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Finding the Fourth Proportional to 11,159.89, 15,399.93 and 6,444.07

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Solution

The fourth proportional to 11,159.89, 15,399.93 and 6,444.07 is: 8,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.89 : 15,399.93 = 6,444.07 : x
  2. Step 2: Convert to fraction form
    11,159.89/15,399.93 = 6,444.07/x
  3. Step 3: Cross multiply
    11,159.89x = 15,399.93 × 6,444.07
  4. Step 4: Simplify right side
    11,159.89x = 99,238,226.92
  5. Step 5: Solve for x
    x = 99,238,226.92/11,159.89
  6. Step 6: Final answer
    x = 8,892.40

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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.