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Finding the Fourth Proportional to 7,038.96, 10,561.98 and 2,656.44

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Solution

The fourth proportional to 7,038.96, 10,561.98 and 2,656.44 is: 3,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.96 : 10,561.98 = 2,656.44 : x
  2. Step 2: Convert to fraction form
    7,038.96/10,561.98 = 2,656.44/x
  3. Step 3: Cross multiply
    7,038.96x = 10,561.98 × 2,656.44
  4. Step 4: Simplify right side
    7,038.96x = 28,057,266.15
  5. Step 5: Solve for x
    x = 28,057,266.15/7,038.96
  6. Step 6: Final answer
    x = 3,986.00

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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.