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Finding the Fourth Proportional to 10,925.76, 16,390.72 and 4,000.64

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Solution

The fourth proportional to 10,925.76, 16,390.72 and 4,000.64 is: 6,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.76 : 16,390.72 = 4,000.64 : x
  2. Step 2: Convert to fraction form
    10,925.76/16,390.72 = 4,000.64/x
  3. Step 3: Cross multiply
    10,925.76x = 16,390.72 × 4,000.64
  4. Step 4: Simplify right side
    10,925.76x = 65,573,370.06
  5. Step 5: Solve for x
    x = 65,573,370.06/10,925.76
  6. Step 6: Final answer
    x = 6,001.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.