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Finding the Fourth Proportional to 10,280.84, 14,187.68 and 5,804.76

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Solution

The fourth proportional to 10,280.84, 14,187.68 and 5,804.76 is: 8,010.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.84 : 14,187.68 = 5,804.76 : x
  2. Step 2: Convert to fraction form
    10,280.84/14,187.68 = 5,804.76/x
  3. Step 3: Cross multiply
    10,280.84x = 14,187.68 × 5,804.76
  4. Step 4: Simplify right side
    10,280.84x = 82,356,077.36
  5. Step 5: Solve for x
    x = 82,356,077.36/10,280.84
  6. Step 6: Final answer
    x = 8,010.64

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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.