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Finding the Fourth Proportional to 8,533.84, 11,776.56 and 4,756.92

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Solution

The fourth proportional to 8,533.84, 11,776.56 and 4,756.92 is: 6,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.84 : 11,776.56 = 4,756.92 : x
  2. Step 2: Convert to fraction form
    8,533.84/11,776.56 = 4,756.92/x
  3. Step 3: Cross multiply
    8,533.84x = 11,776.56 × 4,756.92
  4. Step 4: Simplify right side
    8,533.84x = 56,020,153.80
  5. Step 5: Solve for x
    x = 56,020,153.80/8,533.84
  6. Step 6: Final answer
    x = 6,564.47

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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.