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Finding the Fourth Proportional to 11,298.34, 15,592.02 and 6,194.14

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Solution

The fourth proportional to 11,298.34, 15,592.02 and 6,194.14 is: 8,548.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.34 : 15,592.02 = 6,194.14 : x
  2. Step 2: Convert to fraction form
    11,298.34/15,592.02 = 6,194.14/x
  3. Step 3: Cross multiply
    11,298.34x = 15,592.02 × 6,194.14
  4. Step 4: Simplify right side
    11,298.34x = 96,579,154.76
  5. Step 5: Solve for x
    x = 96,579,154.76/11,298.34
  6. Step 6: Final answer
    x = 8,548.08

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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.