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Finding the Fourth Proportional to 7,913.58, 11,870.76 and 2,649.06

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Solution

The fourth proportional to 7,913.58, 11,870.76 and 2,649.06 is: 3,973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.58 : 11,870.76 = 2,649.06 : x
  2. Step 2: Convert to fraction form
    7,913.58/11,870.76 = 2,649.06/x
  3. Step 3: Cross multiply
    7,913.58x = 11,870.76 × 2,649.06
  4. Step 4: Simplify right side
    7,913.58x = 31,446,355.49
  5. Step 5: Solve for x
    x = 31,446,355.49/7,913.58
  6. Step 6: Final answer
    x = 3,973.72

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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.