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Finding the Fourth Proportional to 7,765.32, 11,642.49 and 2,498.70

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Solution

The fourth proportional to 7,765.32, 11,642.49 and 2,498.70 is: 3,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.32 : 11,642.49 = 2,498.70 : x
  2. Step 2: Convert to fraction form
    7,765.32/11,642.49 = 2,498.70/x
  3. Step 3: Cross multiply
    7,765.32x = 11,642.49 × 2,498.70
  4. Step 4: Simplify right side
    7,765.32x = 29,091,089.76
  5. Step 5: Solve for x
    x = 29,091,089.76/7,765.32
  6. Step 6: Final answer
    x = 3,746.28

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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.