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Finding the Fourth Proportional to 7,802.61, 10,773.23 and 4,822.53

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Solution

The fourth proportional to 7,802.61, 10,773.23 and 4,822.53 is: 6,658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.61 : 10,773.23 = 4,822.53 : x
  2. Step 2: Convert to fraction form
    7,802.61/10,773.23 = 4,822.53/x
  3. Step 3: Cross multiply
    7,802.61x = 10,773.23 × 4,822.53
  4. Step 4: Simplify right side
    7,802.61x = 51,954,224.87
  5. Step 5: Solve for x
    x = 51,954,224.87/7,802.61
  6. Step 6: Final answer
    x = 6,658.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.