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Finding the Fourth Proportional to 10,819.56, 14,931 and 5,851.56

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Solution

The fourth proportional to 10,819.56, 14,931 and 5,851.56 is: 8,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.56 : 14,931 = 5,851.56 : x
  2. Step 2: Convert to fraction form
    10,819.56/14,931 = 5,851.56/x
  3. Step 3: Cross multiply
    10,819.56x = 14,931 × 5,851.56
  4. Step 4: Simplify right side
    10,819.56x = 87,369,642.36
  5. Step 5: Solve for x
    x = 87,369,642.36/10,819.56
  6. Step 6: Final answer
    x = 8,075.16

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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.