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Finding the Fourth Proportional to 11,408.40, 15,737.76 and 7,436.16

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Solution

The fourth proportional to 11,408.40, 15,737.76 and 7,436.16 is: 10,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.40 : 15,737.76 = 7,436.16 : x
  2. Step 2: Convert to fraction form
    11,408.40/15,737.76 = 7,436.16/x
  3. Step 3: Cross multiply
    11,408.40x = 15,737.76 × 7,436.16
  4. Step 4: Simplify right side
    11,408.40x = 117,028,501.40
  5. Step 5: Solve for x
    x = 117,028,501.40/11,408.40
  6. Step 6: Final answer
    x = 10,258.10

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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.