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Finding the Fourth Proportional to 8,124.64, 11,210.74 and 4,587.78

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Solution

The fourth proportional to 8,124.64, 11,210.74 and 4,587.78 is: 6,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.64 : 11,210.74 = 4,587.78 : x
  2. Step 2: Convert to fraction form
    8,124.64/11,210.74 = 4,587.78/x
  3. Step 3: Cross multiply
    8,124.64x = 11,210.74 × 4,587.78
  4. Step 4: Simplify right side
    8,124.64x = 51,432,408.76
  5. Step 5: Solve for x
    x = 51,432,408.76/8,124.64
  6. Step 6: Final answer
    x = 6,330.42

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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.