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Finding the Fourth Proportional to 7,602.84, 10,488.99 and 4,769.06

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Solution

The fourth proportional to 7,602.84, 10,488.99 and 4,769.06 is: 6,579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.84 : 10,488.99 = 4,769.06 : x
  2. Step 2: Convert to fraction form
    7,602.84/10,488.99 = 4,769.06/x
  3. Step 3: Cross multiply
    7,602.84x = 10,488.99 × 4,769.06
  4. Step 4: Simplify right side
    7,602.84x = 50,022,570.20
  5. Step 5: Solve for x
    x = 50,022,570.20/7,602.84
  6. Step 6: Final answer
    x = 6,579.46

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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.