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Finding the Fourth Proportional to 7,677.64, 11,516.45 and 2,130.98

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Solution

The fourth proportional to 7,677.64, 11,516.45 and 2,130.98 is: 3,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.64 : 11,516.45 = 2,130.98 : x
  2. Step 2: Convert to fraction form
    7,677.64/11,516.45 = 2,130.98/x
  3. Step 3: Cross multiply
    7,677.64x = 11,516.45 × 2,130.98
  4. Step 4: Simplify right side
    7,677.64x = 24,541,358.74
  5. Step 5: Solve for x
    x = 24,541,358.74/7,677.64
  6. Step 6: Final answer
    x = 3,196.47

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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.