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Finding the Fourth Proportional to 8,156.16, 11,255.76 and 4,430.16

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Solution

The fourth proportional to 8,156.16, 11,255.76 and 4,430.16 is: 6,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.16 : 11,255.76 = 4,430.16 : x
  2. Step 2: Convert to fraction form
    8,156.16/11,255.76 = 4,430.16/x
  3. Step 3: Cross multiply
    8,156.16x = 11,255.76 × 4,430.16
  4. Step 4: Simplify right side
    8,156.16x = 49,864,817.72
  5. Step 5: Solve for x
    x = 49,864,817.72/8,156.16
  6. Step 6: Final answer
    x = 6,113.76

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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.