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Finding the Fourth Proportional to 6,518.84, 9,770.70 and 5,053.28

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Solution

The fourth proportional to 6,518.84, 9,770.70 and 5,053.28 is: 7,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.84 : 9,770.70 = 5,053.28 : x
  2. Step 2: Convert to fraction form
    6,518.84/9,770.70 = 5,053.28/x
  3. Step 3: Cross multiply
    6,518.84x = 9,770.70 × 5,053.28
  4. Step 4: Simplify right side
    6,518.84x = 49,374,082.90
  5. Step 5: Solve for x
    x = 49,374,082.90/6,518.84
  6. Step 6: Final answer
    x = 7,574.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.