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Finding the Fourth Proportional to 8,038.40, 12,055.44 and 5,457.20

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Solution

The fourth proportional to 8,038.40, 12,055.44 and 5,457.20 is: 8,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.40 : 12,055.44 = 5,457.20 : x
  2. Step 2: Convert to fraction form
    8,038.40/12,055.44 = 5,457.20/x
  3. Step 3: Cross multiply
    8,038.40x = 12,055.44 × 5,457.20
  4. Step 4: Simplify right side
    8,038.40x = 65,788,947.17
  5. Step 5: Solve for x
    x = 65,788,947.17/8,038.40
  6. Step 6: Final answer
    x = 8,184.33

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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.