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Finding the Fourth Proportional to 8,670.52, 11,962.22 and 5,312.12

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Solution

The fourth proportional to 8,670.52, 11,962.22 and 5,312.12 is: 7,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.52 : 11,962.22 = 5,312.12 : x
  2. Step 2: Convert to fraction form
    8,670.52/11,962.22 = 5,312.12/x
  3. Step 3: Cross multiply
    8,670.52x = 11,962.22 × 5,312.12
  4. Step 4: Simplify right side
    8,670.52x = 63,544,748.11
  5. Step 5: Solve for x
    x = 63,544,748.11/8,670.52
  6. Step 6: Final answer
    x = 7,328.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.