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Finding the Fourth Proportional to 8,126.64, 11,215.89 and 4,590

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Solution

The fourth proportional to 8,126.64, 11,215.89 and 4,590 is: 6,334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.64 : 11,215.89 = 4,590 : x
  2. Step 2: Convert to fraction form
    8,126.64/11,215.89 = 4,590/x
  3. Step 3: Cross multiply
    8,126.64x = 11,215.89 × 4,590
  4. Step 4: Simplify right side
    8,126.64x = 51,480,935.10
  5. Step 5: Solve for x
    x = 51,480,935.10/8,126.64
  6. Step 6: Final answer
    x = 6,334.84

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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.