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Finding the Fourth Proportional to 8,435.84, 11,636.85 and 5,076.63

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Solution

The fourth proportional to 8,435.84, 11,636.85 and 5,076.63 is: 7,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.84 : 11,636.85 = 5,076.63 : x
  2. Step 2: Convert to fraction form
    8,435.84/11,636.85 = 5,076.63/x
  3. Step 3: Cross multiply
    8,435.84x = 11,636.85 × 5,076.63
  4. Step 4: Simplify right side
    8,435.84x = 59,075,981.82
  5. Step 5: Solve for x
    x = 59,075,981.82/8,435.84
  6. Step 6: Final answer
    x = 7,002.98

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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.