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Finding the Fourth Proportional to 11,316.96, 16,955.84 and 6,126.40

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Solution

The fourth proportional to 11,316.96, 16,955.84 and 6,126.40 is: 9,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316.96 : 16,955.84 = 6,126.40 : x
  2. Step 2: Convert to fraction form
    11,316.96/16,955.84 = 6,126.40/x
  3. Step 3: Cross multiply
    11,316.96x = 16,955.84 × 6,126.40
  4. Step 4: Simplify right side
    11,316.96x = 103,878,258.18
  5. Step 5: Solve for x
    x = 103,878,258.18/11,316.96
  6. Step 6: Final answer
    x = 9,178.99

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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.