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Finding the Fourth Proportional to 7,970.54, 10,999.87 and 5,322.38

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Solution

The fourth proportional to 7,970.54, 10,999.87 and 5,322.38 is: 7,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.54 : 10,999.87 = 5,322.38 : x
  2. Step 2: Convert to fraction form
    7,970.54/10,999.87 = 5,322.38/x
  3. Step 3: Cross multiply
    7,970.54x = 10,999.87 × 5,322.38
  4. Step 4: Simplify right side
    7,970.54x = 58,545,419.79
  5. Step 5: Solve for x
    x = 58,545,419.79/7,970.54
  6. Step 6: Final answer
    x = 7,345.23

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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.