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Finding the Fourth Proportional to 10,623.58, 14,662.35 and 6,147.46

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Solution

The fourth proportional to 10,623.58, 14,662.35 and 6,147.46 is: 8,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.58 : 14,662.35 = 6,147.46 : x
  2. Step 2: Convert to fraction form
    10,623.58/14,662.35 = 6,147.46/x
  3. Step 3: Cross multiply
    10,623.58x = 14,662.35 × 6,147.46
  4. Step 4: Simplify right side
    10,623.58x = 90,136,210.13
  5. Step 5: Solve for x
    x = 90,136,210.13/10,623.58
  6. Step 6: Final answer
    x = 8,484.54

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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.