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Finding the Fourth Proportional to 30,877.16, 46,315.60 and 7,503.64

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Solution

The fourth proportional to 30,877.16, 46,315.60 and 7,503.64 is: 11,255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.16 : 46,315.60 = 7,503.64 : x
  2. Step 2: Convert to fraction form
    30,877.16/46,315.60 = 7,503.64/x
  3. Step 3: Cross multiply
    30,877.16x = 46,315.60 × 7,503.64
  4. Step 4: Simplify right side
    30,877.16x = 347,535,588.78
  5. Step 5: Solve for x
    x = 347,535,588.78/30,877.16
  6. Step 6: Final answer
    x = 11,255.43

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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.