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Finding the Fourth Proportional to 8,970.76, 13,447.82 and 8,232.52

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Solution

The fourth proportional to 8,970.76, 13,447.82 and 8,232.52 is: 12,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.76 : 13,447.82 = 8,232.52 : x
  2. Step 2: Convert to fraction form
    8,970.76/13,447.82 = 8,232.52/x
  3. Step 3: Cross multiply
    8,970.76x = 13,447.82 × 8,232.52
  4. Step 4: Simplify right side
    8,970.76x = 110,709,447.11
  5. Step 5: Solve for x
    x = 110,709,447.11/8,970.76
  6. Step 6: Final answer
    x = 12,341.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.