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Finding the Fourth Proportional to 11,513.16, 15,916.70 and 11,408.07

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Solution

The fourth proportional to 11,513.16, 15,916.70 and 11,408.07 is: 15,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.16 : 15,916.70 = 11,408.07 : x
  2. Step 2: Convert to fraction form
    11,513.16/15,916.70 = 11,408.07/x
  3. Step 3: Cross multiply
    11,513.16x = 15,916.70 × 11,408.07
  4. Step 4: Simplify right side
    11,513.16x = 181,578,781.68
  5. Step 5: Solve for x
    x = 181,578,781.68/11,513.16
  6. Step 6: Final answer
    x = 15,771.41

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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.