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Finding the Fourth Proportional to 10,009.76, 13,813.40 and 5,533.76

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Solution

The fourth proportional to 10,009.76, 13,813.40 and 5,533.76 is: 7,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.76 : 13,813.40 = 5,533.76 : x
  2. Step 2: Convert to fraction form
    10,009.76/13,813.40 = 5,533.76/x
  3. Step 3: Cross multiply
    10,009.76x = 13,813.40 × 5,533.76
  4. Step 4: Simplify right side
    10,009.76x = 76,440,040.38
  5. Step 5: Solve for x
    x = 76,440,040.38/10,009.76
  6. Step 6: Final answer
    x = 7,636.55

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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.