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Finding the Fourth Proportional to 10,480.72, 14,465.64 and 6,005.20

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Solution

The fourth proportional to 10,480.72, 14,465.64 and 6,005.20 is: 8,288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.72 : 14,465.64 = 6,005.20 : x
  2. Step 2: Convert to fraction form
    10,480.72/14,465.64 = 6,005.20/x
  3. Step 3: Cross multiply
    10,480.72x = 14,465.64 × 6,005.20
  4. Step 4: Simplify right side
    10,480.72x = 86,869,061.33
  5. Step 5: Solve for x
    x = 86,869,061.33/10,480.72
  6. Step 6: Final answer
    x = 8,288.46

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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.