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Finding the Fourth Proportional to 11,558.48, 15,946.74 and 6,522.08

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Solution

The fourth proportional to 11,558.48, 15,946.74 and 6,522.08 is: 8,998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.48 : 15,946.74 = 6,522.08 : x
  2. Step 2: Convert to fraction form
    11,558.48/15,946.74 = 6,522.08/x
  3. Step 3: Cross multiply
    11,558.48x = 15,946.74 × 6,522.08
  4. Step 4: Simplify right side
    11,558.48x = 104,005,914.02
  5. Step 5: Solve for x
    x = 104,005,914.02/11,558.48
  6. Step 6: Final answer
    x = 8,998.23

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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.