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Finding the Fourth Proportional to 11,002.16, 16,488.64 and 9,534.44

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Solution

The fourth proportional to 11,002.16, 16,488.64 and 9,534.44 is: 14,289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.16 : 16,488.64 = 9,534.44 : x
  2. Step 2: Convert to fraction form
    11,002.16/16,488.64 = 9,534.44/x
  3. Step 3: Cross multiply
    11,002.16x = 16,488.64 × 9,534.44
  4. Step 4: Simplify right side
    11,002.16x = 157,209,948.76
  5. Step 5: Solve for x
    x = 157,209,948.76/11,002.16
  6. Step 6: Final answer
    x = 14,289.01

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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.