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Finding the Fourth Proportional to 10,553.84, 15,831.84 and 4,709.96

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Solution

The fourth proportional to 10,553.84, 15,831.84 and 4,709.96 is: 7,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.84 : 15,831.84 = 4,709.96 : x
  2. Step 2: Convert to fraction form
    10,553.84/15,831.84 = 4,709.96/x
  3. Step 3: Cross multiply
    10,553.84x = 15,831.84 × 4,709.96
  4. Step 4: Simplify right side
    10,553.84x = 74,567,333.13
  5. Step 5: Solve for x
    x = 74,567,333.13/10,553.84
  6. Step 6: Final answer
    x = 7,065.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.