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Finding the Fourth Proportional to 11,455.72, 15,788.79 and 9,858.40

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Solution

The fourth proportional to 11,455.72, 15,788.79 and 9,858.40 is: 13,587.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.72 : 15,788.79 = 9,858.40 : x
  2. Step 2: Convert to fraction form
    11,455.72/15,788.79 = 9,858.40/x
  3. Step 3: Cross multiply
    11,455.72x = 15,788.79 × 9,858.40
  4. Step 4: Simplify right side
    11,455.72x = 155,652,167.86
  5. Step 5: Solve for x
    x = 155,652,167.86/11,455.72
  6. Step 6: Final answer
    x = 13,587.29

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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.