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Finding the Fourth Proportional to 12,730.06, 17,567.43 and 7,762.06

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Solution

The fourth proportional to 12,730.06, 17,567.43 and 7,762.06 is: 10,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.06 : 17,567.43 = 7,762.06 : x
  2. Step 2: Convert to fraction form
    12,730.06/17,567.43 = 7,762.06/x
  3. Step 3: Cross multiply
    12,730.06x = 17,567.43 × 7,762.06
  4. Step 4: Simplify right side
    12,730.06x = 136,359,445.71
  5. Step 5: Solve for x
    x = 136,359,445.71/12,730.06
  6. Step 6: Final answer
    x = 10,711.61

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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.