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Finding the Fourth Proportional to 7,656.34, 10,566.35 and 4,299.37

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Solution

The fourth proportional to 7,656.34, 10,566.35 and 4,299.37 is: 5,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.34 : 10,566.35 = 4,299.37 : x
  2. Step 2: Convert to fraction form
    7,656.34/10,566.35 = 4,299.37/x
  3. Step 3: Cross multiply
    7,656.34x = 10,566.35 × 4,299.37
  4. Step 4: Simplify right side
    7,656.34x = 45,428,648.20
  5. Step 5: Solve for x
    x = 45,428,648.20/7,656.34
  6. Step 6: Final answer
    x = 5,933.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.