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Finding the Fourth Proportional to 10,814.76, 14,924.36 and 5,846.76

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Solution

The fourth proportional to 10,814.76, 14,924.36 and 5,846.76 is: 8,068.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.76 : 14,924.36 = 5,846.76 : x
  2. Step 2: Convert to fraction form
    10,814.76/14,924.36 = 5,846.76/x
  3. Step 3: Cross multiply
    10,814.76x = 14,924.36 × 5,846.76
  4. Step 4: Simplify right side
    10,814.76x = 87,259,151.07
  5. Step 5: Solve for x
    x = 87,259,151.07/10,814.76
  6. Step 6: Final answer
    x = 8,068.52

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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.