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Finding the Fourth Proportional to 7,406.98, 11,097.51 and 4,322.50

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Solution

The fourth proportional to 7,406.98, 11,097.51 and 4,322.50 is: 6,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.98 : 11,097.51 = 4,322.50 : x
  2. Step 2: Convert to fraction form
    7,406.98/11,097.51 = 4,322.50/x
  3. Step 3: Cross multiply
    7,406.98x = 11,097.51 × 4,322.50
  4. Step 4: Simplify right side
    7,406.98x = 47,968,986.98
  5. Step 5: Solve for x
    x = 47,968,986.98/7,406.98
  6. Step 6: Final answer
    x = 6,476.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.