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Finding the Fourth Proportional to 8,646.68, 13,023.16 and 8,038.28

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Solution

The fourth proportional to 8,646.68, 13,023.16 and 8,038.28 is: 12,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.68 : 13,023.16 = 8,038.28 : x
  2. Step 2: Convert to fraction form
    8,646.68/13,023.16 = 8,038.28/x
  3. Step 3: Cross multiply
    8,646.68x = 13,023.16 × 8,038.28
  4. Step 4: Simplify right side
    8,646.68x = 104,683,806.56
  5. Step 5: Solve for x
    x = 104,683,806.56/8,646.68
  6. Step 6: Final answer
    x = 12,106.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.