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Finding the Fourth Proportional to 10,697.97, 16,045.47 and 3,302.67

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Solution

The fourth proportional to 10,697.97, 16,045.47 and 3,302.67 is: 4,953.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.97 : 16,045.47 = 3,302.67 : x
  2. Step 2: Convert to fraction form
    10,697.97/16,045.47 = 3,302.67/x
  3. Step 3: Cross multiply
    10,697.97x = 16,045.47 × 3,302.67
  4. Step 4: Simplify right side
    10,697.97x = 52,992,892.40
  5. Step 5: Solve for x
    x = 52,992,892.40/10,697.97
  6. Step 6: Final answer
    x = 4,953.55

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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.