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Finding the Fourth Proportional to 10,296.40, 15,444.60 and 5,112.40

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Solution

The fourth proportional to 10,296.40, 15,444.60 and 5,112.40 is: 7,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.40 : 15,444.60 = 5,112.40 : x
  2. Step 2: Convert to fraction form
    10,296.40/15,444.60 = 5,112.40/x
  3. Step 3: Cross multiply
    10,296.40x = 15,444.60 × 5,112.40
  4. Step 4: Simplify right side
    10,296.40x = 78,958,973.04
  5. Step 5: Solve for x
    x = 78,958,973.04/10,296.40
  6. Step 6: Final answer
    x = 7,668.60

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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.