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Finding the Fourth Proportional to 7,677.66, 10,592.46 and 5,026.53

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Solution

The fourth proportional to 7,677.66, 10,592.46 and 5,026.53 is: 6,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.66 : 10,592.46 = 5,026.53 : x
  2. Step 2: Convert to fraction form
    7,677.66/10,592.46 = 5,026.53/x
  3. Step 3: Cross multiply
    7,677.66x = 10,592.46 × 5,026.53
  4. Step 4: Simplify right side
    7,677.66x = 53,243,317.96
  5. Step 5: Solve for x
    x = 53,243,317.96/7,677.66
  6. Step 6: Final answer
    x = 6,934.84

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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.