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Finding the Fourth Proportional to 7,116.48, 9,817.92 and 4,754.88

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Solution

The fourth proportional to 7,116.48, 9,817.92 and 4,754.88 is: 6,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.48 : 9,817.92 = 4,754.88 : x
  2. Step 2: Convert to fraction form
    7,116.48/9,817.92 = 4,754.88/x
  3. Step 3: Cross multiply
    7,116.48x = 9,817.92 × 4,754.88
  4. Step 4: Simplify right side
    7,116.48x = 46,683,031.45
  5. Step 5: Solve for x
    x = 46,683,031.45/7,116.48
  6. Step 6: Final answer
    x = 6,559.85

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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.