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Finding the Fourth Proportional to 25,309.40, 37,964.70 and 7,779.38

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Solution

The fourth proportional to 25,309.40, 37,964.70 and 7,779.38 is: 11,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,309.40 : 37,964.70 = 7,779.38 : x
  2. Step 2: Convert to fraction form
    25,309.40/37,964.70 = 7,779.38/x
  3. Step 3: Cross multiply
    25,309.40x = 37,964.70 × 7,779.38
  4. Step 4: Simplify right side
    25,309.40x = 295,341,638.06
  5. Step 5: Solve for x
    x = 295,341,638.06/25,309.40
  6. Step 6: Final answer
    x = 11,669.25

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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.