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Finding the Fourth Proportional to 7,823.66, 10,802.18 and 4,840.43

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Solution

The fourth proportional to 7,823.66, 10,802.18 and 4,840.43 is: 6,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.66 : 10,802.18 = 4,840.43 : x
  2. Step 2: Convert to fraction form
    7,823.66/10,802.18 = 4,840.43/x
  3. Step 3: Cross multiply
    7,823.66x = 10,802.18 × 4,840.43
  4. Step 4: Simplify right side
    7,823.66x = 52,287,196.14
  5. Step 5: Solve for x
    x = 52,287,196.14/7,823.66
  6. Step 6: Final answer
    x = 6,683.21

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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.