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Finding the Fourth Proportional to 10,007.02, 13,810.53 and 5,815

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Solution

The fourth proportional to 10,007.02, 13,810.53 and 5,815 is: 8,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.02 : 13,810.53 = 5,815 : x
  2. Step 2: Convert to fraction form
    10,007.02/13,810.53 = 5,815/x
  3. Step 3: Cross multiply
    10,007.02x = 13,810.53 × 5,815
  4. Step 4: Simplify right side
    10,007.02x = 80,308,231.95
  5. Step 5: Solve for x
    x = 80,308,231.95/10,007.02
  6. Step 6: Final answer
    x = 8,025.19

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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.