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Finding the Fourth Proportional to 7,828.92, 10,802.16 and 4,686.12

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Solution

The fourth proportional to 7,828.92, 10,802.16 and 4,686.12 is: 6,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.92 : 10,802.16 = 4,686.12 : x
  2. Step 2: Convert to fraction form
    7,828.92/10,802.16 = 4,686.12/x
  3. Step 3: Cross multiply
    7,828.92x = 10,802.16 × 4,686.12
  4. Step 4: Simplify right side
    7,828.92x = 50,620,218.02
  5. Step 5: Solve for x
    x = 50,620,218.02/7,828.92
  6. Step 6: Final answer
    x = 6,465.80

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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.