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Finding the Fourth Proportional to 10,484.36, 14,471.98 and 6,507.80

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Solution

The fourth proportional to 10,484.36, 14,471.98 and 6,507.80 is: 8,982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.36 : 14,471.98 = 6,507.80 : x
  2. Step 2: Convert to fraction form
    10,484.36/14,471.98 = 6,507.80/x
  3. Step 3: Cross multiply
    10,484.36x = 14,471.98 × 6,507.80
  4. Step 4: Simplify right side
    10,484.36x = 94,180,751.44
  5. Step 5: Solve for x
    x = 94,180,751.44/10,484.36
  6. Step 6: Final answer
    x = 8,982.98

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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.