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Finding the Fourth Proportional to 7,577.80, 11,368.94 and 3,419.08

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Solution

The fourth proportional to 7,577.80, 11,368.94 and 3,419.08 is: 5,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.80 : 11,368.94 = 3,419.08 : x
  2. Step 2: Convert to fraction form
    7,577.80/11,368.94 = 3,419.08/x
  3. Step 3: Cross multiply
    7,577.80x = 11,368.94 × 3,419.08
  4. Step 4: Simplify right side
    7,577.80x = 38,871,315.38
  5. Step 5: Solve for x
    x = 38,871,315.38/7,577.80
  6. Step 6: Final answer
    x = 5,129.63

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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.