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Finding the Fourth Proportional to 10,281.34, 14,186.72 and 5,804.99

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Solution

The fourth proportional to 10,281.34, 14,186.72 and 5,804.99 is: 8,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.34 : 14,186.72 = 5,804.99 : x
  2. Step 2: Convert to fraction form
    10,281.34/14,186.72 = 5,804.99/x
  3. Step 3: Cross multiply
    10,281.34x = 14,186.72 × 5,804.99
  4. Step 4: Simplify right side
    10,281.34x = 82,353,788.69
  5. Step 5: Solve for x
    x = 82,353,788.69/10,281.34
  6. Step 6: Final answer
    x = 8,010.03

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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.