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Finding the Fourth Proportional to 11,564.13, 15,958.49 and 6,258.99

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Solution

The fourth proportional to 11,564.13, 15,958.49 and 6,258.99 is: 8,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.13 : 15,958.49 = 6,258.99 : x
  2. Step 2: Convert to fraction form
    11,564.13/15,958.49 = 6,258.99/x
  3. Step 3: Cross multiply
    11,564.13x = 15,958.49 × 6,258.99
  4. Step 4: Simplify right side
    11,564.13x = 99,883,965.18
  5. Step 5: Solve for x
    x = 99,883,965.18/11,564.13
  6. Step 6: Final answer
    x = 8,637.40

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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.