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Finding the Fourth Proportional to 10,280.56, 14,187.28 and 6,088

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Solution

The fourth proportional to 10,280.56, 14,187.28 and 6,088 is: 8,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.56 : 14,187.28 = 6,088 : x
  2. Step 2: Convert to fraction form
    10,280.56/14,187.28 = 6,088/x
  3. Step 3: Cross multiply
    10,280.56x = 14,187.28 × 6,088
  4. Step 4: Simplify right side
    10,280.56x = 86,372,160.64
  5. Step 5: Solve for x
    x = 86,372,160.64/10,280.56
  6. Step 6: Final answer
    x = 8,401.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.