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Finding the Fourth Proportional to 11,477.60, 15,853.52 and 9,468.30

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Solution

The fourth proportional to 11,477.60, 15,853.52 and 9,468.30 is: 13,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.60 : 15,853.52 = 9,468.30 : x
  2. Step 2: Convert to fraction form
    11,477.60/15,853.52 = 9,468.30/x
  3. Step 3: Cross multiply
    11,477.60x = 15,853.52 × 9,468.30
  4. Step 4: Simplify right side
    11,477.60x = 150,105,883.42
  5. Step 5: Solve for x
    x = 150,105,883.42/11,477.60
  6. Step 6: Final answer
    x = 13,078.16

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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.