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Finding the Fourth Proportional to 8,156.57, 11,256.02 and 4,430.57

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Solution

The fourth proportional to 8,156.57, 11,256.02 and 4,430.57 is: 6,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.57 : 11,256.02 = 4,430.57 : x
  2. Step 2: Convert to fraction form
    8,156.57/11,256.02 = 4,430.57/x
  3. Step 3: Cross multiply
    8,156.57x = 11,256.02 × 4,430.57
  4. Step 4: Simplify right side
    8,156.57x = 49,870,506.10
  5. Step 5: Solve for x
    x = 49,870,506.10/8,156.57
  6. Step 6: Final answer
    x = 6,114.16

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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.