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Finding the Fourth Proportional to 10,973.46, 15,146.22 and 6,779.28

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Solution

The fourth proportional to 10,973.46, 15,146.22 and 6,779.28 is: 9,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.46 : 15,146.22 = 6,779.28 : x
  2. Step 2: Convert to fraction form
    10,973.46/15,146.22 = 6,779.28/x
  3. Step 3: Cross multiply
    10,973.46x = 15,146.22 × 6,779.28
  4. Step 4: Simplify right side
    10,973.46x = 102,680,466.32
  5. Step 5: Solve for x
    x = 102,680,466.32/10,973.46
  6. Step 6: Final answer
    x = 9,357.16

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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.