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Finding the Fourth Proportional to 10,815.25, 14,911.52 and 9,025.31

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Solution

The fourth proportional to 10,815.25, 14,911.52 and 9,025.31 is: 12,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.25 : 14,911.52 = 9,025.31 : x
  2. Step 2: Convert to fraction form
    10,815.25/14,911.52 = 9,025.31/x
  3. Step 3: Cross multiply
    10,815.25x = 14,911.52 × 9,025.31
  4. Step 4: Simplify right side
    10,815.25x = 134,581,075.86
  5. Step 5: Solve for x
    x = 134,581,075.86/10,815.25
  6. Step 6: Final answer
    x = 12,443.64

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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.