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Finding the Fourth Proportional to 7,322.50, 10,985.13 and 2,940.30

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Solution

The fourth proportional to 7,322.50, 10,985.13 and 2,940.30 is: 4,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.50 : 10,985.13 = 2,940.30 : x
  2. Step 2: Convert to fraction form
    7,322.50/10,985.13 = 2,940.30/x
  3. Step 3: Cross multiply
    7,322.50x = 10,985.13 × 2,940.30
  4. Step 4: Simplify right side
    7,322.50x = 32,299,577.74
  5. Step 5: Solve for x
    x = 32,299,577.74/7,322.50
  6. Step 6: Final answer
    x = 4,411.00

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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.