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Finding the Fourth Proportional to 7,802.65, 11,701.55 and 2,607.31

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Solution

The fourth proportional to 7,802.65, 11,701.55 and 2,607.31 is: 3,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.65 : 11,701.55 = 2,607.31 : x
  2. Step 2: Convert to fraction form
    7,802.65/11,701.55 = 2,607.31/x
  3. Step 3: Cross multiply
    7,802.65x = 11,701.55 × 2,607.31
  4. Step 4: Simplify right side
    7,802.65x = 30,509,594.33
  5. Step 5: Solve for x
    x = 30,509,594.33/7,802.65
  6. Step 6: Final answer
    x = 3,910.16

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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.