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Finding the Fourth Proportional to 7,038.41, 10,557.42 and 2,877.42

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Solution

The fourth proportional to 7,038.41, 10,557.42 and 2,877.42 is: 4,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.41 : 10,557.42 = 2,877.42 : x
  2. Step 2: Convert to fraction form
    7,038.41/10,557.42 = 2,877.42/x
  3. Step 3: Cross multiply
    7,038.41x = 10,557.42 × 2,877.42
  4. Step 4: Simplify right side
    7,038.41x = 30,378,131.46
  5. Step 5: Solve for x
    x = 30,378,131.46/7,038.41
  6. Step 6: Final answer
    x = 4,316.05

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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.