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Finding the Fourth Proportional to 10,418.96, 14,378.04 and 5,703.20

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Solution

The fourth proportional to 10,418.96, 14,378.04 and 5,703.20 is: 7,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.96 : 14,378.04 = 5,703.20 : x
  2. Step 2: Convert to fraction form
    10,418.96/14,378.04 = 5,703.20/x
  3. Step 3: Cross multiply
    10,418.96x = 14,378.04 × 5,703.20
  4. Step 4: Simplify right side
    10,418.96x = 82,000,837.73
  5. Step 5: Solve for x
    x = 82,000,837.73/10,418.96
  6. Step 6: Final answer
    x = 7,870.35

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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.