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Finding the Fourth Proportional to 11,897.46, 16,417.80 and 6,592.20

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Solution

The fourth proportional to 11,897.46, 16,417.80 and 6,592.20 is: 9,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.46 : 16,417.80 = 6,592.20 : x
  2. Step 2: Convert to fraction form
    11,897.46/16,417.80 = 6,592.20/x
  3. Step 3: Cross multiply
    11,897.46x = 16,417.80 × 6,592.20
  4. Step 4: Simplify right side
    11,897.46x = 108,229,421.16
  5. Step 5: Solve for x
    x = 108,229,421.16/11,897.46
  6. Step 6: Final answer
    x = 9,096.85

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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.