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Finding the Fourth Proportional to 7,802.96, 10,763.16 and 5,444.24

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Solution

The fourth proportional to 7,802.96, 10,763.16 and 5,444.24 is: 7,509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.96 : 10,763.16 = 5,444.24 : x
  2. Step 2: Convert to fraction form
    7,802.96/10,763.16 = 5,444.24/x
  3. Step 3: Cross multiply
    7,802.96x = 10,763.16 × 5,444.24
  4. Step 4: Simplify right side
    7,802.96x = 58,597,226.20
  5. Step 5: Solve for x
    x = 58,597,226.20/7,802.96
  6. Step 6: Final answer
    x = 7,509.62

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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.