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Finding the Fourth Proportional to 10,588, 14,612.64 and 6,112.95

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Solution

The fourth proportional to 10,588, 14,612.64 and 6,112.95 is: 8,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588 : 14,612.64 = 6,112.95 : x
  2. Step 2: Convert to fraction form
    10,588/14,612.64 = 6,112.95/x
  3. Step 3: Cross multiply
    10,588x = 14,612.64 × 6,112.95
  4. Step 4: Simplify right side
    10,588x = 89,326,337.69
  5. Step 5: Solve for x
    x = 89,326,337.69/10,588
  6. Step 6: Final answer
    x = 8,436.56

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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.