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Finding the Fourth Proportional to 10,333.98, 15,500.70 and 4,007.07

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Solution

The fourth proportional to 10,333.98, 15,500.70 and 4,007.07 is: 6,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.98 : 15,500.70 = 4,007.07 : x
  2. Step 2: Convert to fraction form
    10,333.98/15,500.70 = 4,007.07/x
  3. Step 3: Cross multiply
    10,333.98x = 15,500.70 × 4,007.07
  4. Step 4: Simplify right side
    10,333.98x = 62,112,389.95
  5. Step 5: Solve for x
    x = 62,112,389.95/10,333.98
  6. Step 6: Final answer
    x = 6,010.50

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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.