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Finding the Fourth Proportional to 7,476.98, 11,157.80 and 6,542.01

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Solution

The fourth proportional to 7,476.98, 11,157.80 and 6,542.01 is: 9,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.98 : 11,157.80 = 6,542.01 : x
  2. Step 2: Convert to fraction form
    7,476.98/11,157.80 = 6,542.01/x
  3. Step 3: Cross multiply
    7,476.98x = 11,157.80 × 6,542.01
  4. Step 4: Simplify right side
    7,476.98x = 72,994,406.47
  5. Step 5: Solve for x
    x = 72,994,406.47/7,476.98
  6. Step 6: Final answer
    x = 9,762.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.