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Finding the Fourth Proportional to 7,117.56, 9,824.40 and 4,133.88

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Solution

The fourth proportional to 7,117.56, 9,824.40 and 4,133.88 is: 5,706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.56 : 9,824.40 = 4,133.88 : x
  2. Step 2: Convert to fraction form
    7,117.56/9,824.40 = 4,133.88/x
  3. Step 3: Cross multiply
    7,117.56x = 9,824.40 × 4,133.88
  4. Step 4: Simplify right side
    7,117.56x = 40,612,890.67
  5. Step 5: Solve for x
    x = 40,612,890.67/7,117.56
  6. Step 6: Final answer
    x = 5,706.01

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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.