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Finding the Fourth Proportional to 11,526.05, 15,906.32 and 6,746.47

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Solution

The fourth proportional to 11,526.05, 15,906.32 and 6,746.47 is: 9,310.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,526.05 : 15,906.32 = 6,746.47 : x
  2. Step 2: Convert to fraction form
    11,526.05/15,906.32 = 6,746.47/x
  3. Step 3: Cross multiply
    11,526.05x = 15,906.32 × 6,746.47
  4. Step 4: Simplify right side
    11,526.05x = 107,311,551.96
  5. Step 5: Solve for x
    x = 107,311,551.96/11,526.05
  6. Step 6: Final answer
    x = 9,310.35

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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.