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Finding the Fourth Proportional to 10,970.50, 15,139.30 and 6,002.50

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Solution

The fourth proportional to 10,970.50, 15,139.30 and 6,002.50 is: 8,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.50 : 15,139.30 = 6,002.50 : x
  2. Step 2: Convert to fraction form
    10,970.50/15,139.30 = 6,002.50/x
  3. Step 3: Cross multiply
    10,970.50x = 15,139.30 × 6,002.50
  4. Step 4: Simplify right side
    10,970.50x = 90,873,648.25
  5. Step 5: Solve for x
    x = 90,873,648.25/10,970.50
  6. Step 6: Final answer
    x = 8,283.46

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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.