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Finding the Fourth Proportional to 10,970.32, 15,139.92 and 6,779.92

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Solution

The fourth proportional to 10,970.32, 15,139.92 and 6,779.92 is: 9,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.32 : 15,139.92 = 6,779.92 : x
  2. Step 2: Convert to fraction form
    10,970.32/15,139.92 = 6,779.92/x
  3. Step 3: Cross multiply
    10,970.32x = 15,139.92 × 6,779.92
  4. Step 4: Simplify right side
    10,970.32x = 102,647,446.41
  5. Step 5: Solve for x
    x = 102,647,446.41/10,970.32
  6. Step 6: Final answer
    x = 9,356.83

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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.