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Finding the Fourth Proportional to 11,558.71, 15,951.43 and 6,524.16

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Solution

The fourth proportional to 11,558.71, 15,951.43 and 6,524.16 is: 9,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.71 : 15,951.43 = 6,524.16 : x
  2. Step 2: Convert to fraction form
    11,558.71/15,951.43 = 6,524.16/x
  3. Step 3: Cross multiply
    11,558.71x = 15,951.43 × 6,524.16
  4. Step 4: Simplify right side
    11,558.71x = 104,069,681.55
  5. Step 5: Solve for x
    x = 104,069,681.55/11,558.71
  6. Step 6: Final answer
    x = 9,003.57

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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.