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Finding the Fourth Proportional to 10,328.81, 14,253.73 and 5,613.11

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Solution

The fourth proportional to 10,328.81, 14,253.73 and 5,613.11 is: 7,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.81 : 14,253.73 = 5,613.11 : x
  2. Step 2: Convert to fraction form
    10,328.81/14,253.73 = 5,613.11/x
  3. Step 3: Cross multiply
    10,328.81x = 14,253.73 × 5,613.11
  4. Step 4: Simplify right side
    10,328.81x = 80,007,754.40
  5. Step 5: Solve for x
    x = 80,007,754.40/10,328.81
  6. Step 6: Final answer
    x = 7,746.08

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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.