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Finding the Fourth Proportional to 7,685.94, 10,585.89 and 6,636.18

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Solution

The fourth proportional to 7,685.94, 10,585.89 and 6,636.18 is: 9,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.94 : 10,585.89 = 6,636.18 : x
  2. Step 2: Convert to fraction form
    7,685.94/10,585.89 = 6,636.18/x
  3. Step 3: Cross multiply
    7,685.94x = 10,585.89 × 6,636.18
  4. Step 4: Simplify right side
    7,685.94x = 70,249,871.50
  5. Step 5: Solve for x
    x = 70,249,871.50/7,685.94
  6. Step 6: Final answer
    x = 9,140.05

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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.