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Finding the Fourth Proportional to 7,152.96, 9,863.56 and 5,658.48

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Solution

The fourth proportional to 7,152.96, 9,863.56 and 5,658.48 is: 7,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.96 : 9,863.56 = 5,658.48 : x
  2. Step 2: Convert to fraction form
    7,152.96/9,863.56 = 5,658.48/x
  3. Step 3: Cross multiply
    7,152.96x = 9,863.56 × 5,658.48
  4. Step 4: Simplify right side
    7,152.96x = 55,812,756.99
  5. Step 5: Solve for x
    x = 55,812,756.99/7,152.96
  6. Step 6: Final answer
    x = 7,802.75

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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.