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Finding the Fourth Proportional to 10,503.54, 14,494.95 and 6,524.82

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Solution

The fourth proportional to 10,503.54, 14,494.95 and 6,524.82 is: 9,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.54 : 14,494.95 = 6,524.82 : x
  2. Step 2: Convert to fraction form
    10,503.54/14,494.95 = 6,524.82/x
  3. Step 3: Cross multiply
    10,503.54x = 14,494.95 × 6,524.82
  4. Step 4: Simplify right side
    10,503.54x = 94,576,939.66
  5. Step 5: Solve for x
    x = 94,576,939.66/10,503.54
  6. Step 6: Final answer
    x = 9,004.29

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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.