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Finding the Fourth Proportional to 7,970.14, 10,999.02 and 4,614.01

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Solution

The fourth proportional to 7,970.14, 10,999.02 and 4,614.01 is: 6,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.14 : 10,999.02 = 4,614.01 : x
  2. Step 2: Convert to fraction form
    7,970.14/10,999.02 = 4,614.01/x
  3. Step 3: Cross multiply
    7,970.14x = 10,999.02 × 4,614.01
  4. Step 4: Simplify right side
    7,970.14x = 50,749,588.27
  5. Step 5: Solve for x
    x = 50,749,588.27/7,970.14
  6. Step 6: Final answer
    x = 6,367.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.