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Finding the Fourth Proportional to 11,140.56, 15,374.16 and 6,666.84

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Solution

The fourth proportional to 11,140.56, 15,374.16 and 6,666.84 is: 9,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.56 : 15,374.16 = 6,666.84 : x
  2. Step 2: Convert to fraction form
    11,140.56/15,374.16 = 6,666.84/x
  3. Step 3: Cross multiply
    11,140.56x = 15,374.16 × 6,666.84
  4. Step 4: Simplify right side
    11,140.56x = 102,497,064.85
  5. Step 5: Solve for x
    x = 102,497,064.85/11,140.56
  6. Step 6: Final answer
    x = 9,200.35

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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.