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Finding the Fourth Proportional to 7,464.93, 10,298.16 and 4,813.19

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Solution

The fourth proportional to 7,464.93, 10,298.16 and 4,813.19 is: 6,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.93 : 10,298.16 = 4,813.19 : x
  2. Step 2: Convert to fraction form
    7,464.93/10,298.16 = 4,813.19/x
  3. Step 3: Cross multiply
    7,464.93x = 10,298.16 × 4,813.19
  4. Step 4: Simplify right side
    7,464.93x = 49,566,988.70
  5. Step 5: Solve for x
    x = 49,566,988.70/7,464.93
  6. Step 6: Final answer
    x = 6,639.98

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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.