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Finding the Fourth Proportional to 10,196.08, 14,051.54 and 7,954.40

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Solution

The fourth proportional to 10,196.08, 14,051.54 and 7,954.40 is: 10,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.08 : 14,051.54 = 7,954.40 : x
  2. Step 2: Convert to fraction form
    10,196.08/14,051.54 = 7,954.40/x
  3. Step 3: Cross multiply
    10,196.08x = 14,051.54 × 7,954.40
  4. Step 4: Simplify right side
    10,196.08x = 111,771,569.78
  5. Step 5: Solve for x
    x = 111,771,569.78/10,196.08
  6. Step 6: Final answer
    x = 10,962.21

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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.