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Finding the Fourth Proportional to 10,483.98, 14,467.62 and 5,703.72

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Solution

The fourth proportional to 10,483.98, 14,467.62 and 5,703.72 is: 7,870.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.98 : 14,467.62 = 5,703.72 : x
  2. Step 2: Convert to fraction form
    10,483.98/14,467.62 = 5,703.72/x
  3. Step 3: Cross multiply
    10,483.98x = 14,467.62 × 5,703.72
  4. Step 4: Simplify right side
    10,483.98x = 82,519,253.55
  5. Step 5: Solve for x
    x = 82,519,253.55/10,483.98
  6. Step 6: Final answer
    x = 7,870.99

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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.