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Finding the Fourth Proportional to 10,970.82, 15,139.85 and 6,255.41

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Solution

The fourth proportional to 10,970.82, 15,139.85 and 6,255.41 is: 8,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.82 : 15,139.85 = 6,255.41 : x
  2. Step 2: Convert to fraction form
    10,970.82/15,139.85 = 6,255.41/x
  3. Step 3: Cross multiply
    10,970.82x = 15,139.85 × 6,255.41
  4. Step 4: Simplify right side
    10,970.82x = 94,705,862.11
  5. Step 5: Solve for x
    x = 94,705,862.11/10,970.82
  6. Step 6: Final answer
    x = 8,632.52

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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.