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Finding the Fourth Proportional to 10,749.76, 14,820.72 and 7,386.40

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Solution

The fourth proportional to 10,749.76, 14,820.72 and 7,386.40 is: 10,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749.76 : 14,820.72 = 7,386.40 : x
  2. Step 2: Convert to fraction form
    10,749.76/14,820.72 = 7,386.40/x
  3. Step 3: Cross multiply
    10,749.76x = 14,820.72 × 7,386.40
  4. Step 4: Simplify right side
    10,749.76x = 109,471,766.21
  5. Step 5: Solve for x
    x = 109,471,766.21/10,749.76
  6. Step 6: Final answer
    x = 10,183.65

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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.