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Finding the Fourth Proportional to 12,762.30, 19,141.76 and 4,862.69

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Solution

The fourth proportional to 12,762.30, 19,141.76 and 4,862.69 is: 7,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.30 : 19,141.76 = 4,862.69 : x
  2. Step 2: Convert to fraction form
    12,762.30/19,141.76 = 4,862.69/x
  3. Step 3: Cross multiply
    12,762.30x = 19,141.76 × 4,862.69
  4. Step 4: Simplify right side
    12,762.30x = 93,080,324.91
  5. Step 5: Solve for x
    x = 93,080,324.91/12,762.30
  6. Step 6: Final answer
    x = 7,293.38

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