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Finding the Fourth Proportional to 11,146.08, 15,346.62 and 9,464.16

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Solution

The fourth proportional to 11,146.08, 15,346.62 and 9,464.16 is: 13,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.08 : 15,346.62 = 9,464.16 : x
  2. Step 2: Convert to fraction form
    11,146.08/15,346.62 = 9,464.16/x
  3. Step 3: Cross multiply
    11,146.08x = 15,346.62 × 9,464.16
  4. Step 4: Simplify right side
    11,146.08x = 145,242,867.14
  5. Step 5: Solve for x
    x = 145,242,867.14/11,146.08
  6. Step 6: Final answer
    x = 13,030.85

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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.