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Finding the Fourth Proportional to 10,973.51, 15,143.64 and 6,194.41

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Solution

The fourth proportional to 10,973.51, 15,143.64 and 6,194.41 is: 8,548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.51 : 15,143.64 = 6,194.41 : x
  2. Step 2: Convert to fraction form
    10,973.51/15,143.64 = 6,194.41/x
  3. Step 3: Cross multiply
    10,973.51x = 15,143.64 × 6,194.41
  4. Step 4: Simplify right side
    10,973.51x = 93,805,905.59
  5. Step 5: Solve for x
    x = 93,805,905.59/10,973.51
  6. Step 6: Final answer
    x = 8,548.40

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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.