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Finding the Fourth Proportional to 10,038.54, 15,052.32 and 7,971.82

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Solution

The fourth proportional to 10,038.54, 15,052.32 and 7,971.82 is: 11,953.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.54 : 15,052.32 = 7,971.82 : x
  2. Step 2: Convert to fraction form
    10,038.54/15,052.32 = 7,971.82/x
  3. Step 3: Cross multiply
    10,038.54x = 15,052.32 × 7,971.82
  4. Step 4: Simplify right side
    10,038.54x = 119,994,385.62
  5. Step 5: Solve for x
    x = 119,994,385.62/10,038.54
  6. Step 6: Final answer
    x = 11,953.37

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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.