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Finding the Fourth Proportional to 10,237.84, 15,361.08 and 5,043.76

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Solution

The fourth proportional to 10,237.84, 15,361.08 and 5,043.76 is: 7,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.84 : 15,361.08 = 5,043.76 : x
  2. Step 2: Convert to fraction form
    10,237.84/15,361.08 = 5,043.76/x
  3. Step 3: Cross multiply
    10,237.84x = 15,361.08 × 5,043.76
  4. Step 4: Simplify right side
    10,237.84x = 77,477,600.86
  5. Step 5: Solve for x
    x = 77,477,600.86/10,237.84
  6. Step 6: Final answer
    x = 7,567.77

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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.