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Finding the Fourth Proportional to 10,562.58, 14,575.94 and 5,846.76

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Solution

The fourth proportional to 10,562.58, 14,575.94 and 5,846.76 is: 8,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.58 : 14,575.94 = 5,846.76 : x
  2. Step 2: Convert to fraction form
    10,562.58/14,575.94 = 5,846.76/x
  3. Step 3: Cross multiply
    10,562.58x = 14,575.94 × 5,846.76
  4. Step 4: Simplify right side
    10,562.58x = 85,222,022.95
  5. Step 5: Solve for x
    x = 85,222,022.95/10,562.58
  6. Step 6: Final answer
    x = 8,068.30

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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.