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Finding the Fourth Proportional to 7,677.90, 10,595.64 and 4,275

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Solution

The fourth proportional to 7,677.90, 10,595.64 and 4,275 is: 5,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.90 : 10,595.64 = 4,275 : x
  2. Step 2: Convert to fraction form
    7,677.90/10,595.64 = 4,275/x
  3. Step 3: Cross multiply
    7,677.90x = 10,595.64 × 4,275
  4. Step 4: Simplify right side
    7,677.90x = 45,296,361
  5. Step 5: Solve for x
    x = 45,296,361/7,677.90
  6. Step 6: Final answer
    x = 5,899.58

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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.