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Finding the Fourth Proportional to 7,707.60, 10,636.65 and 4,563.18

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Solution

The fourth proportional to 7,707.60, 10,636.65 and 4,563.18 is: 6,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.60 : 10,636.65 = 4,563.18 : x
  2. Step 2: Convert to fraction form
    7,707.60/10,636.65 = 4,563.18/x
  3. Step 3: Cross multiply
    7,707.60x = 10,636.65 × 4,563.18
  4. Step 4: Simplify right side
    7,707.60x = 48,536,948.55
  5. Step 5: Solve for x
    x = 48,536,948.55/7,707.60
  6. Step 6: Final answer
    x = 6,297.28

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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.