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Finding the Fourth Proportional to 7,802.31, 10,768.37 and 4,970.91

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Solution

The fourth proportional to 7,802.31, 10,768.37 and 4,970.91 is: 6,860.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.31 : 10,768.37 = 4,970.91 : x
  2. Step 2: Convert to fraction form
    7,802.31/10,768.37 = 4,970.91/x
  3. Step 3: Cross multiply
    7,802.31x = 10,768.37 × 4,970.91
  4. Step 4: Simplify right side
    7,802.31x = 53,528,573.26
  5. Step 5: Solve for x
    x = 53,528,573.26/7,802.31
  6. Step 6: Final answer
    x = 6,860.61

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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.