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Finding the Fourth Proportional to 10,041.44, 13,863.51 and 6,458.00

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Solution

The fourth proportional to 10,041.44, 13,863.51 and 6,458.00 is: 8,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.44 : 13,863.51 = 6,458.00 : x
  2. Step 2: Convert to fraction form
    10,041.44/13,863.51 = 6,458.00/x
  3. Step 3: Cross multiply
    10,041.44x = 13,863.51 × 6,458.00
  4. Step 4: Simplify right side
    10,041.44x = 89,530,478.26
  5. Step 5: Solve for x
    x = 89,530,478.26/10,041.44
  6. Step 6: Final answer
    x = 8,916.10

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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.