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Finding the Fourth Proportional to 10,044, 13,860.72 and 5,567.67

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Solution

The fourth proportional to 10,044, 13,860.72 and 5,567.67 is: 7,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044 : 13,860.72 = 5,567.67 : x
  2. Step 2: Convert to fraction form
    10,044/13,860.72 = 5,567.67/x
  3. Step 3: Cross multiply
    10,044x = 13,860.72 × 5,567.67
  4. Step 4: Simplify right side
    10,044x = 77,171,914.92
  5. Step 5: Solve for x
    x = 77,171,914.92/10,044
  6. Step 6: Final answer
    x = 7,683.38

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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.