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Finding the Fourth Proportional to 8,445.64, 11,659.14 and 5,303.56

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Solution

The fourth proportional to 8,445.64, 11,659.14 and 5,303.56 is: 7,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,445.64 : 11,659.14 = 5,303.56 : x
  2. Step 2: Convert to fraction form
    8,445.64/11,659.14 = 5,303.56/x
  3. Step 3: Cross multiply
    8,445.64x = 11,659.14 × 5,303.56
  4. Step 4: Simplify right side
    8,445.64x = 61,834,948.54
  5. Step 5: Solve for x
    x = 61,834,948.54/8,445.64
  6. Step 6: Final answer
    x = 7,321.52

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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.