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Finding the Fourth Proportional to 8,445.64, 11,652.14 and 5,465.24

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Solution

The fourth proportional to 8,445.64, 11,652.14 and 5,465.24 is: 7,540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,445.64 : 11,652.14 = 5,465.24 : x
  2. Step 2: Convert to fraction form
    8,445.64/11,652.14 = 5,465.24/x
  3. Step 3: Cross multiply
    8,445.64x = 11,652.14 × 5,465.24
  4. Step 4: Simplify right side
    8,445.64x = 63,681,714.29
  5. Step 5: Solve for x
    x = 63,681,714.29/8,445.64
  6. Step 6: Final answer
    x = 7,540.19

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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.