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Finding the Fourth Proportional to 8,465.40, 12,683.70 and 6,996.60

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Solution

The fourth proportional to 8,465.40, 12,683.70 and 6,996.60 is: 10,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.40 : 12,683.70 = 6,996.60 : x
  2. Step 2: Convert to fraction form
    8,465.40/12,683.70 = 6,996.60/x
  3. Step 3: Cross multiply
    8,465.40x = 12,683.70 × 6,996.60
  4. Step 4: Simplify right side
    8,465.40x = 88,742,775.42
  5. Step 5: Solve for x
    x = 88,742,775.42/8,465.40
  6. Step 6: Final answer
    x = 10,483.00

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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.