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Finding the Fourth Proportional to 10,707.73, 16,038.21 and 4,448.77

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Solution

The fourth proportional to 10,707.73, 16,038.21 and 4,448.77 is: 6,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.73 : 16,038.21 = 4,448.77 : x
  2. Step 2: Convert to fraction form
    10,707.73/16,038.21 = 4,448.77/x
  3. Step 3: Cross multiply
    10,707.73x = 16,038.21 × 4,448.77
  4. Step 4: Simplify right side
    10,707.73x = 71,350,307.50
  5. Step 5: Solve for x
    x = 71,350,307.50/10,707.73
  6. Step 6: Final answer
    x = 6,663.44

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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.