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Finding the Fourth Proportional to 10,007.56, 13,810.74 and 5,532.04

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Solution

The fourth proportional to 10,007.56, 13,810.74 and 5,532.04 is: 7,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.56 : 13,810.74 = 5,532.04 : x
  2. Step 2: Convert to fraction form
    10,007.56/13,810.74 = 5,532.04/x
  3. Step 3: Cross multiply
    10,007.56x = 13,810.74 × 5,532.04
  4. Step 4: Simplify right side
    10,007.56x = 76,401,566.11
  5. Step 5: Solve for x
    x = 76,401,566.11/10,007.56
  6. Step 6: Final answer
    x = 7,634.39

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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.