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Finding the Fourth Proportional to 7,705.49, 10,628.57 and 4,720.24

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Solution

The fourth proportional to 7,705.49, 10,628.57 and 4,720.24 is: 6,510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.49 : 10,628.57 = 4,720.24 : x
  2. Step 2: Convert to fraction form
    7,705.49/10,628.57 = 4,720.24/x
  3. Step 3: Cross multiply
    7,705.49x = 10,628.57 × 4,720.24
  4. Step 4: Simplify right side
    7,705.49x = 50,169,324.51
  5. Step 5: Solve for x
    x = 50,169,324.51/7,705.49
  6. Step 6: Final answer
    x = 6,510.85

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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.