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Finding the Fourth Proportional to 8,292.84, 11,444.36 and 4,756.68

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Solution

The fourth proportional to 8,292.84, 11,444.36 and 4,756.68 is: 6,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.84 : 11,444.36 = 4,756.68 : x
  2. Step 2: Convert to fraction form
    8,292.84/11,444.36 = 4,756.68/x
  3. Step 3: Cross multiply
    8,292.84x = 11,444.36 × 4,756.68
  4. Step 4: Simplify right side
    8,292.84x = 54,437,158.32
  5. Step 5: Solve for x
    x = 54,437,158.32/8,292.84
  6. Step 6: Final answer
    x = 6,564.36

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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.