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Finding the Fourth Proportional to 11,897.10, 16,412.85 and 7,178.67

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Solution

The fourth proportional to 11,897.10, 16,412.85 and 7,178.67 is: 9,903.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.10 : 16,412.85 = 7,178.67 : x
  2. Step 2: Convert to fraction form
    11,897.10/16,412.85 = 7,178.67/x
  3. Step 3: Cross multiply
    11,897.10x = 16,412.85 × 7,178.67
  4. Step 4: Simplify right side
    11,897.10x = 117,822,433.91
  5. Step 5: Solve for x
    x = 117,822,433.91/11,897.10
  6. Step 6: Final answer
    x = 9,903.46

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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.