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Finding the Fourth Proportional to 11,164.16, 15,406.04 and 6,690.40

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Solution

The fourth proportional to 11,164.16, 15,406.04 and 6,690.40 is: 9,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.16 : 15,406.04 = 6,690.40 : x
  2. Step 2: Convert to fraction form
    11,164.16/15,406.04 = 6,690.40/x
  3. Step 3: Cross multiply
    11,164.16x = 15,406.04 × 6,690.40
  4. Step 4: Simplify right side
    11,164.16x = 103,072,570.02
  5. Step 5: Solve for x
    x = 103,072,570.02/11,164.16
  6. Step 6: Final answer
    x = 9,232.45

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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.