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Finding the Fourth Proportional to 8,461.64, 12,681.87 and 4,015.65

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Solution

The fourth proportional to 8,461.64, 12,681.87 and 4,015.65 is: 6,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.64 : 12,681.87 = 4,015.65 : x
  2. Step 2: Convert to fraction form
    8,461.64/12,681.87 = 4,015.65/x
  3. Step 3: Cross multiply
    8,461.64x = 12,681.87 × 4,015.65
  4. Step 4: Simplify right side
    8,461.64x = 50,925,948.10
  5. Step 5: Solve for x
    x = 50,925,948.10/8,461.64
  6. Step 6: Final answer
    x = 6,018.45

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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.