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Finding the Fourth Proportional to 8,522, 11,760.40 and 4,744.88

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Solution

The fourth proportional to 8,522, 11,760.40 and 4,744.88 is: 6,547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522 : 11,760.40 = 4,744.88 : x
  2. Step 2: Convert to fraction form
    8,522/11,760.40 = 4,744.88/x
  3. Step 3: Cross multiply
    8,522x = 11,760.40 × 4,744.88
  4. Step 4: Simplify right side
    8,522x = 55,801,686.75
  5. Step 5: Solve for x
    x = 55,801,686.75/8,522
  6. Step 6: Final answer
    x = 6,547.96

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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.