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Finding the Fourth Proportional to 11,002.76, 16,464.71 and 9,527.07

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Solution

The fourth proportional to 11,002.76, 16,464.71 and 9,527.07 is: 14,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.76 : 16,464.71 = 9,527.07 : x
  2. Step 2: Convert to fraction form
    11,002.76/16,464.71 = 9,527.07/x
  3. Step 3: Cross multiply
    11,002.76x = 16,464.71 × 9,527.07
  4. Step 4: Simplify right side
    11,002.76x = 156,860,397.06
  5. Step 5: Solve for x
    x = 156,860,397.06/11,002.76
  6. Step 6: Final answer
    x = 14,256.47

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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.