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Finding the Fourth Proportional to 8,577.76, 12,870.96 and 3,964

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Solution

The fourth proportional to 8,577.76, 12,870.96 and 3,964 is: 5,948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.76 : 12,870.96 = 3,964 : x
  2. Step 2: Convert to fraction form
    8,577.76/12,870.96 = 3,964/x
  3. Step 3: Cross multiply
    8,577.76x = 12,870.96 × 3,964
  4. Step 4: Simplify right side
    8,577.76x = 51,020,485.44
  5. Step 5: Solve for x
    x = 51,020,485.44/8,577.76
  6. Step 6: Final answer
    x = 5,948.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.