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Finding the Fourth Proportional to 12,762.81, 19,140.77 and 8,075.79

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Solution

The fourth proportional to 12,762.81, 19,140.77 and 8,075.79 is: 12,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.81 : 19,140.77 = 8,075.79 : x
  2. Step 2: Convert to fraction form
    12,762.81/19,140.77 = 8,075.79/x
  3. Step 3: Cross multiply
    12,762.81x = 19,140.77 × 8,075.79
  4. Step 4: Simplify right side
    12,762.81x = 154,576,798.58
  5. Step 5: Solve for x
    x = 154,576,798.58/12,762.81
  6. Step 6: Final answer
    x = 12,111.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.