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Finding the Fourth Proportional to 11,700.37, 17,562.70 and 6,779.62

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Solution

The fourth proportional to 11,700.37, 17,562.70 and 6,779.62 is: 10,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.37 : 17,562.70 = 6,779.62 : x
  2. Step 2: Convert to fraction form
    11,700.37/17,562.70 = 6,779.62/x
  3. Step 3: Cross multiply
    11,700.37x = 17,562.70 × 6,779.62
  4. Step 4: Simplify right side
    11,700.37x = 119,068,432.17
  5. Step 5: Solve for x
    x = 119,068,432.17/11,700.37
  6. Step 6: Final answer
    x = 10,176.47

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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.