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Finding the Fourth Proportional to 8,312, 11,470.56 and 4,586

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Solution

The fourth proportional to 8,312, 11,470.56 and 4,586 is: 6,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312 : 11,470.56 = 4,586 : x
  2. Step 2: Convert to fraction form
    8,312/11,470.56 = 4,586/x
  3. Step 3: Cross multiply
    8,312x = 11,470.56 × 4,586
  4. Step 4: Simplify right side
    8,312x = 52,603,988.16
  5. Step 5: Solve for x
    x = 52,603,988.16/8,312
  6. Step 6: Final answer
    x = 6,328.68

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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.