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Finding the Fourth Proportional to 7,762.40, 11,636.56 and 3,142.24

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Solution

The fourth proportional to 7,762.40, 11,636.56 and 3,142.24 is: 4,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.40 : 11,636.56 = 3,142.24 : x
  2. Step 2: Convert to fraction form
    7,762.40/11,636.56 = 3,142.24/x
  3. Step 3: Cross multiply
    7,762.40x = 11,636.56 × 3,142.24
  4. Step 4: Simplify right side
    7,762.40x = 36,564,864.29
  5. Step 5: Solve for x
    x = 36,564,864.29/7,762.40
  6. Step 6: Final answer
    x = 4,710.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.