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Finding the Fourth Proportional to 7,730.15, 11,567.54 and 6,693.74

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Solution

The fourth proportional to 7,730.15, 11,567.54 and 6,693.74 is: 10,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.15 : 11,567.54 = 6,693.74 : x
  2. Step 2: Convert to fraction form
    7,730.15/11,567.54 = 6,693.74/x
  3. Step 3: Cross multiply
    7,730.15x = 11,567.54 × 6,693.74
  4. Step 4: Simplify right side
    7,730.15x = 77,430,013.89
  5. Step 5: Solve for x
    x = 77,430,013.89/7,730.15
  6. Step 6: Final answer
    x = 10,016.63

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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.