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Finding the Fourth Proportional to 10,738.76, 14,826.14 and 7,158.76

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Solution

The fourth proportional to 10,738.76, 14,826.14 and 7,158.76 is: 9,883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.76 : 14,826.14 = 7,158.76 : x
  2. Step 2: Convert to fraction form
    10,738.76/14,826.14 = 7,158.76/x
  3. Step 3: Cross multiply
    10,738.76x = 14,826.14 × 7,158.76
  4. Step 4: Simplify right side
    10,738.76x = 106,136,742.19
  5. Step 5: Solve for x
    x = 106,136,742.19/10,738.76
  6. Step 6: Final answer
    x = 9,883.52

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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.