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Finding the Fourth Proportional to 10,484.16, 14,467.82 and 5,703.98

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Solution

The fourth proportional to 10,484.16, 14,467.82 and 5,703.98 is: 7,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.16 : 14,467.82 = 5,703.98 : x
  2. Step 2: Convert to fraction form
    10,484.16/14,467.82 = 5,703.98/x
  3. Step 3: Cross multiply
    10,484.16x = 14,467.82 × 5,703.98
  4. Step 4: Simplify right side
    10,484.16x = 82,524,155.92
  5. Step 5: Solve for x
    x = 82,524,155.92/10,484.16
  6. Step 6: Final answer
    x = 7,871.32

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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.