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Finding the Fourth Proportional to 10,222.40, 15,322.80 and 5,830.40

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Solution

The fourth proportional to 10,222.40, 15,322.80 and 5,830.40 is: 8,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.40 : 15,322.80 = 5,830.40 : x
  2. Step 2: Convert to fraction form
    10,222.40/15,322.80 = 5,830.40/x
  3. Step 3: Cross multiply
    10,222.40x = 15,322.80 × 5,830.40
  4. Step 4: Simplify right side
    10,222.40x = 89,338,053.12
  5. Step 5: Solve for x
    x = 89,338,053.12/10,222.40
  6. Step 6: Final answer
    x = 8,739.44

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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.