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Finding the Fourth Proportional to 8,404.16, 11,594.40 and 5,258.24

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Solution

The fourth proportional to 8,404.16, 11,594.40 and 5,258.24 is: 7,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.16 : 11,594.40 = 5,258.24 : x
  2. Step 2: Convert to fraction form
    8,404.16/11,594.40 = 5,258.24/x
  3. Step 3: Cross multiply
    8,404.16x = 11,594.40 × 5,258.24
  4. Step 4: Simplify right side
    8,404.16x = 60,966,137.86
  5. Step 5: Solve for x
    x = 60,966,137.86/8,404.16
  6. Step 6: Final answer
    x = 7,254.28

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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.