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Finding the Fourth Proportional to 8,292.98, 11,444.56 and 4,756.88

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Solution

The fourth proportional to 8,292.98, 11,444.56 and 4,756.88 is: 6,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.98 : 11,444.56 = 4,756.88 : x
  2. Step 2: Convert to fraction form
    8,292.98/11,444.56 = 4,756.88/x
  3. Step 3: Cross multiply
    8,292.98x = 11,444.56 × 4,756.88
  4. Step 4: Simplify right side
    8,292.98x = 54,440,398.57
  5. Step 5: Solve for x
    x = 54,440,398.57/8,292.98
  6. Step 6: Final answer
    x = 6,564.64

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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.