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Finding the Fourth Proportional to 30,776.11, 46,164.16 and 7,402.55

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Solution

The fourth proportional to 30,776.11, 46,164.16 and 7,402.55 is: 11,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.11 : 46,164.16 = 7,402.55 : x
  2. Step 2: Convert to fraction form
    30,776.11/46,164.16 = 7,402.55/x
  3. Step 3: Cross multiply
    30,776.11x = 46,164.16 × 7,402.55
  4. Step 4: Simplify right side
    30,776.11x = 341,732,281.04
  5. Step 5: Solve for x
    x = 341,732,281.04/30,776.11
  6. Step 6: Final answer
    x = 11,103.82

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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.