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Finding the Fourth Proportional to 10,894.28, 15,035.82 and 6,646.26

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Solution

The fourth proportional to 10,894.28, 15,035.82 and 6,646.26 is: 9,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.28 : 15,035.82 = 6,646.26 : x
  2. Step 2: Convert to fraction form
    10,894.28/15,035.82 = 6,646.26/x
  3. Step 3: Cross multiply
    10,894.28x = 15,035.82 × 6,646.26
  4. Step 4: Simplify right side
    10,894.28x = 99,931,969.03
  5. Step 5: Solve for x
    x = 99,931,969.03/10,894.28
  6. Step 6: Final answer
    x = 9,172.89

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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.