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Finding the Fourth Proportional to 12,858.56, 19,290.12 and 4,543.40

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Solution

The fourth proportional to 12,858.56, 19,290.12 and 4,543.40 is: 6,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.56 : 19,290.12 = 4,543.40 : x
  2. Step 2: Convert to fraction form
    12,858.56/19,290.12 = 4,543.40/x
  3. Step 3: Cross multiply
    12,858.56x = 19,290.12 × 4,543.40
  4. Step 4: Simplify right side
    12,858.56x = 87,642,731.21
  5. Step 5: Solve for x
    x = 87,642,731.21/12,858.56
  6. Step 6: Final answer
    x = 6,815.91

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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.