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Finding the Fourth Proportional to 10,491.77, 14,477.15 and 6,015.71

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Solution

The fourth proportional to 10,491.77, 14,477.15 and 6,015.71 is: 8,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.77 : 14,477.15 = 6,015.71 : x
  2. Step 2: Convert to fraction form
    10,491.77/14,477.15 = 6,015.71/x
  3. Step 3: Cross multiply
    10,491.77x = 14,477.15 × 6,015.71
  4. Step 4: Simplify right side
    10,491.77x = 87,090,387.26
  5. Step 5: Solve for x
    x = 87,090,387.26/10,491.77
  6. Step 6: Final answer
    x = 8,300.83

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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.