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Finding the Fourth Proportional to 6,977.24, 10,460.30 and 4,779.24

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Solution

The fourth proportional to 6,977.24, 10,460.30 and 4,779.24 is: 7,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.24 : 10,460.30 = 4,779.24 : x
  2. Step 2: Convert to fraction form
    6,977.24/10,460.30 = 4,779.24/x
  3. Step 3: Cross multiply
    6,977.24x = 10,460.30 × 4,779.24
  4. Step 4: Simplify right side
    6,977.24x = 49,992,284.17
  5. Step 5: Solve for x
    x = 49,992,284.17/6,977.24
  6. Step 6: Final answer
    x = 7,165.05

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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.