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Finding the Fourth Proportional to 7,703.40, 11,559.51 and 3,260.76

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Solution

The fourth proportional to 7,703.40, 11,559.51 and 3,260.76 is: 4,893.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.40 : 11,559.51 = 3,260.76 : x
  2. Step 2: Convert to fraction form
    7,703.40/11,559.51 = 3,260.76/x
  3. Step 3: Cross multiply
    7,703.40x = 11,559.51 × 3,260.76
  4. Step 4: Simplify right side
    7,703.40x = 37,692,744.48
  5. Step 5: Solve for x
    x = 37,692,744.48/7,703.40
  6. Step 6: Final answer
    x = 4,893.00

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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.