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Finding the Fourth Proportional to 10,900.56, 15,042.33 and 6,184.74

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Solution

The fourth proportional to 10,900.56, 15,042.33 and 6,184.74 is: 8,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.56 : 15,042.33 = 6,184.74 : x
  2. Step 2: Convert to fraction form
    10,900.56/15,042.33 = 6,184.74/x
  3. Step 3: Cross multiply
    10,900.56x = 15,042.33 × 6,184.74
  4. Step 4: Simplify right side
    10,900.56x = 93,032,900.04
  5. Step 5: Solve for x
    x = 93,032,900.04/10,900.56
  6. Step 6: Final answer
    x = 8,534.69

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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.