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Finding the Fourth Proportional to 10,623.48, 14,661.18 and 6,147.42

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Solution

The fourth proportional to 10,623.48, 14,661.18 and 6,147.42 is: 8,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.48 : 14,661.18 = 6,147.42 : x
  2. Step 2: Convert to fraction form
    10,623.48/14,661.18 = 6,147.42/x
  3. Step 3: Cross multiply
    10,623.48x = 14,661.18 × 6,147.42
  4. Step 4: Simplify right side
    10,623.48x = 90,128,431.16
  5. Step 5: Solve for x
    x = 90,128,431.16/10,623.48
  6. Step 6: Final answer
    x = 8,483.89

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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.