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Finding the Fourth Proportional to 10,396.63, 14,333.18 and 7,564.13

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Solution

The fourth proportional to 10,396.63, 14,333.18 and 7,564.13 is: 10,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.63 : 14,333.18 = 7,564.13 : x
  2. Step 2: Convert to fraction form
    10,396.63/14,333.18 = 7,564.13/x
  3. Step 3: Cross multiply
    10,396.63x = 14,333.18 × 7,564.13
  4. Step 4: Simplify right side
    10,396.63x = 108,418,082.99
  5. Step 5: Solve for x
    x = 108,418,082.99/10,396.63
  6. Step 6: Final answer
    x = 10,428.20

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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.