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Finding the Fourth Proportional to 10,898.64, 16,335 and 7,593.84

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Solution

The fourth proportional to 10,898.64, 16,335 and 7,593.84 is: 11,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.64 : 16,335 = 7,593.84 : x
  2. Step 2: Convert to fraction form
    10,898.64/16,335 = 7,593.84/x
  3. Step 3: Cross multiply
    10,898.64x = 16,335 × 7,593.84
  4. Step 4: Simplify right side
    10,898.64x = 124,045,376.40
  5. Step 5: Solve for x
    x = 124,045,376.40/10,898.64
  6. Step 6: Final answer
    x = 11,381.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.