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Finding the Fourth Proportional to 10,491.34, 14,477.62 and 6,011.97

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Solution

The fourth proportional to 10,491.34, 14,477.62 and 6,011.97 is: 8,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.34 : 14,477.62 = 6,011.97 : x
  2. Step 2: Convert to fraction form
    10,491.34/14,477.62 = 6,011.97/x
  3. Step 3: Cross multiply
    10,491.34x = 14,477.62 × 6,011.97
  4. Step 4: Simplify right side
    10,491.34x = 87,039,017.11
  5. Step 5: Solve for x
    x = 87,039,017.11/10,491.34
  6. Step 6: Final answer
    x = 8,296.27

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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.