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Finding the Fourth Proportional to 10,699.67, 16,048.47 and 3,302.13

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Solution

The fourth proportional to 10,699.67, 16,048.47 and 3,302.13 is: 4,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.67 : 16,048.47 = 3,302.13 : x
  2. Step 2: Convert to fraction form
    10,699.67/16,048.47 = 3,302.13/x
  3. Step 3: Cross multiply
    10,699.67x = 16,048.47 × 3,302.13
  4. Step 4: Simplify right side
    10,699.67x = 52,994,134.24
  5. Step 5: Solve for x
    x = 52,994,134.24/10,699.67
  6. Step 6: Final answer
    x = 4,952.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.