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Finding the Fourth Proportional to 10,511.70, 14,506.05 and 5,795.88

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Solution

The fourth proportional to 10,511.70, 14,506.05 and 5,795.88 is: 7,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.70 : 14,506.05 = 5,795.88 : x
  2. Step 2: Convert to fraction form
    10,511.70/14,506.05 = 5,795.88/x
  3. Step 3: Cross multiply
    10,511.70x = 14,506.05 × 5,795.88
  4. Step 4: Simplify right side
    10,511.70x = 84,075,325.07
  5. Step 5: Solve for x
    x = 84,075,325.07/10,511.70
  6. Step 6: Final answer
    x = 7,998.26

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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.