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Finding the Fourth Proportional to 10,329.10, 14,253.99 and 5,613.46

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Solution

The fourth proportional to 10,329.10, 14,253.99 and 5,613.46 is: 7,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.10 : 14,253.99 = 5,613.46 : x
  2. Step 2: Convert to fraction form
    10,329.10/14,253.99 = 5,613.46/x
  3. Step 3: Cross multiply
    10,329.10x = 14,253.99 × 5,613.46
  4. Step 4: Simplify right side
    10,329.10x = 80,014,202.71
  5. Step 5: Solve for x
    x = 80,014,202.71/10,329.10
  6. Step 6: Final answer
    x = 7,746.48

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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.