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Finding the Fourth Proportional to 10,973.64, 15,138.18 and 7,824.36

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Solution

The fourth proportional to 10,973.64, 15,138.18 and 7,824.36 is: 10,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.64 : 15,138.18 = 7,824.36 : x
  2. Step 2: Convert to fraction form
    10,973.64/15,138.18 = 7,824.36/x
  3. Step 3: Cross multiply
    10,973.64x = 15,138.18 × 7,824.36
  4. Step 4: Simplify right side
    10,973.64x = 118,446,570.06
  5. Step 5: Solve for x
    x = 118,446,570.06/10,973.64
  6. Step 6: Final answer
    x = 10,793.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.