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Finding the Fourth Proportional to 7,802.40, 11,703.60 and 2,607

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Solution

The fourth proportional to 7,802.40, 11,703.60 and 2,607 is: 3,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.40 : 11,703.60 = 2,607 : x
  2. Step 2: Convert to fraction form
    7,802.40/11,703.60 = 2,607/x
  3. Step 3: Cross multiply
    7,802.40x = 11,703.60 × 2,607
  4. Step 4: Simplify right side
    7,802.40x = 30,511,285.20
  5. Step 5: Solve for x
    x = 30,511,285.20/7,802.40
  6. Step 6: Final answer
    x = 3,910.50

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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.