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Finding the Fourth Proportional to 10,897.96, 16,346.78 and 7,223.40

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Solution

The fourth proportional to 10,897.96, 16,346.78 and 7,223.40 is: 10,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.96 : 16,346.78 = 7,223.40 : x
  2. Step 2: Convert to fraction form
    10,897.96/16,346.78 = 7,223.40/x
  3. Step 3: Cross multiply
    10,897.96x = 16,346.78 × 7,223.40
  4. Step 4: Simplify right side
    10,897.96x = 118,079,330.65
  5. Step 5: Solve for x
    x = 118,079,330.65/10,897.96
  6. Step 6: Final answer
    x = 10,834.99

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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.