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Finding the Fourth Proportional to 10,980.76, 15,149.70 and 6,261.64

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Solution

The fourth proportional to 10,980.76, 15,149.70 and 6,261.64 is: 8,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.76 : 15,149.70 = 6,261.64 : x
  2. Step 2: Convert to fraction form
    10,980.76/15,149.70 = 6,261.64/x
  3. Step 3: Cross multiply
    10,980.76x = 15,149.70 × 6,261.64
  4. Step 4: Simplify right side
    10,980.76x = 94,861,967.51
  5. Step 5: Solve for x
    x = 94,861,967.51/10,980.76
  6. Step 6: Final answer
    x = 8,638.93

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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.