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Finding the Fourth Proportional to 7,970.19, 10,998.07 and 4,567.24

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Solution

The fourth proportional to 7,970.19, 10,998.07 and 4,567.24 is: 6,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.19 : 10,998.07 = 4,567.24 : x
  2. Step 2: Convert to fraction form
    7,970.19/10,998.07 = 4,567.24/x
  3. Step 3: Cross multiply
    7,970.19x = 10,998.07 × 4,567.24
  4. Step 4: Simplify right side
    7,970.19x = 50,230,825.23
  5. Step 5: Solve for x
    x = 50,230,825.23/7,970.19
  6. Step 6: Final answer
    x = 6,302.34

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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.