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Finding the Fourth Proportional to 10,623.65, 14,660.01 and 6,147.08

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Solution

The fourth proportional to 10,623.65, 14,660.01 and 6,147.08 is: 8,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.65 : 14,660.01 = 6,147.08 : x
  2. Step 2: Convert to fraction form
    10,623.65/14,660.01 = 6,147.08/x
  3. Step 3: Cross multiply
    10,623.65x = 14,660.01 × 6,147.08
  4. Step 4: Simplify right side
    10,623.65x = 90,116,238.90
  5. Step 5: Solve for x
    x = 90,116,238.90/10,623.65
  6. Step 6: Final answer
    x = 8,482.61

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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.