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Finding the Fourth Proportional to 10,479.48, 14,462.64 and 6,004.68

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Solution

The fourth proportional to 10,479.48, 14,462.64 and 6,004.68 is: 8,287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.48 : 14,462.64 = 6,004.68 : x
  2. Step 2: Convert to fraction form
    10,479.48/14,462.64 = 6,004.68/x
  3. Step 3: Cross multiply
    10,479.48x = 14,462.64 × 6,004.68
  4. Step 4: Simplify right side
    10,479.48x = 86,843,525.16
  5. Step 5: Solve for x
    x = 86,843,525.16/10,479.48
  6. Step 6: Final answer
    x = 8,287.01

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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.