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Finding the Fourth Proportional to 7,361.40, 11,038.56 and 2,429.13

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Solution

The fourth proportional to 7,361.40, 11,038.56 and 2,429.13 is: 3,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.40 : 11,038.56 = 2,429.13 : x
  2. Step 2: Convert to fraction form
    7,361.40/11,038.56 = 2,429.13/x
  3. Step 3: Cross multiply
    7,361.40x = 11,038.56 × 2,429.13
  4. Step 4: Simplify right side
    7,361.40x = 26,814,097.25
  5. Step 5: Solve for x
    x = 26,814,097.25/7,361.40
  6. Step 6: Final answer
    x = 3,642.53

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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.