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Finding the Fourth Proportional to 7,488.64, 11,232.96 and 3,106

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Solution

The fourth proportional to 7,488.64, 11,232.96 and 3,106 is: 4,659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488.64 : 11,232.96 = 3,106 : x
  2. Step 2: Convert to fraction form
    7,488.64/11,232.96 = 3,106/x
  3. Step 3: Cross multiply
    7,488.64x = 11,232.96 × 3,106
  4. Step 4: Simplify right side
    7,488.64x = 34,889,573.76
  5. Step 5: Solve for x
    x = 34,889,573.76/7,488.64
  6. Step 6: Final answer
    x = 4,659.00

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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.