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Finding the Fourth Proportional to 10,970.76, 15,139.64 and 6,002.76

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Solution

The fourth proportional to 10,970.76, 15,139.64 and 6,002.76 is: 8,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.76 : 15,139.64 = 6,002.76 : x
  2. Step 2: Convert to fraction form
    10,970.76/15,139.64 = 6,002.76/x
  3. Step 3: Cross multiply
    10,970.76x = 15,139.64 × 6,002.76
  4. Step 4: Simplify right side
    10,970.76x = 90,879,625.41
  5. Step 5: Solve for x
    x = 90,879,625.41/10,970.76
  6. Step 6: Final answer
    x = 8,283.80

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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.