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Finding the Fourth Proportional to 11,421.57, 15,764.40 and 7,435.74

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Solution

The fourth proportional to 11,421.57, 15,764.40 and 7,435.74 is: 10,263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.57 : 15,764.40 = 7,435.74 : x
  2. Step 2: Convert to fraction form
    11,421.57/15,764.40 = 7,435.74/x
  3. Step 3: Cross multiply
    11,421.57x = 15,764.40 × 7,435.74
  4. Step 4: Simplify right side
    11,421.57x = 117,219,979.66
  5. Step 5: Solve for x
    x = 117,219,979.66/11,421.57
  6. Step 6: Final answer
    x = 10,263.04

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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.