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Finding the Fourth Proportional to 7,583.84, 10,459.15 and 4,930.28

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Solution

The fourth proportional to 7,583.84, 10,459.15 and 4,930.28 is: 6,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.84 : 10,459.15 = 4,930.28 : x
  2. Step 2: Convert to fraction form
    7,583.84/10,459.15 = 4,930.28/x
  3. Step 3: Cross multiply
    7,583.84x = 10,459.15 × 4,930.28
  4. Step 4: Simplify right side
    7,583.84x = 51,566,473.44
  5. Step 5: Solve for x
    x = 51,566,473.44/7,583.84
  6. Step 6: Final answer
    x = 6,799.52

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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.