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Finding the Fourth Proportional to 7,656.12, 11,492.28 and 3,763.26

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Solution

The fourth proportional to 7,656.12, 11,492.28 and 3,763.26 is: 5,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.12 : 11,492.28 = 3,763.26 : x
  2. Step 2: Convert to fraction form
    7,656.12/11,492.28 = 3,763.26/x
  3. Step 3: Cross multiply
    7,656.12x = 11,492.28 × 3,763.26
  4. Step 4: Simplify right side
    7,656.12x = 43,248,437.63
  5. Step 5: Solve for x
    x = 43,248,437.63/7,656.12
  6. Step 6: Final answer
    x = 5,648.87

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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.