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Finding the Fourth Proportional to 10,176.03, 14,051.68 and 6,405.48

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Solution

The fourth proportional to 10,176.03, 14,051.68 and 6,405.48 is: 8,845.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176.03 : 14,051.68 = 6,405.48 : x
  2. Step 2: Convert to fraction form
    10,176.03/14,051.68 = 6,405.48/x
  3. Step 3: Cross multiply
    10,176.03x = 14,051.68 × 6,405.48
  4. Step 4: Simplify right side
    10,176.03x = 90,007,739.19
  5. Step 5: Solve for x
    x = 90,007,739.19/10,176.03
  6. Step 6: Final answer
    x = 8,845.07

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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.