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Finding the Fourth Proportional to 10,412.03, 14,368.94 and 5,696.31

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Solution

The fourth proportional to 10,412.03, 14,368.94 and 5,696.31 is: 7,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.03 : 14,368.94 = 5,696.31 : x
  2. Step 2: Convert to fraction form
    10,412.03/14,368.94 = 5,696.31/x
  3. Step 3: Cross multiply
    10,412.03x = 14,368.94 × 5,696.31
  4. Step 4: Simplify right side
    10,412.03x = 81,849,950.85
  5. Step 5: Solve for x
    x = 81,849,950.85/10,412.03
  6. Step 6: Final answer
    x = 7,861.09

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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.