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Finding the Fourth Proportional to 7,802.10, 10,766.64 and 4,265.25

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Solution

The fourth proportional to 7,802.10, 10,766.64 and 4,265.25 is: 5,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.10 : 10,766.64 = 4,265.25 : x
  2. Step 2: Convert to fraction form
    7,802.10/10,766.64 = 4,265.25/x
  3. Step 3: Cross multiply
    7,802.10x = 10,766.64 × 4,265.25
  4. Step 4: Simplify right side
    7,802.10x = 45,922,411.26
  5. Step 5: Solve for x
    x = 45,922,411.26/7,802.10
  6. Step 6: Final answer
    x = 5,885.90

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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.