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Finding the Fourth Proportional to 10,815.40, 16,223.10 and 6,133.60

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Solution

The fourth proportional to 10,815.40, 16,223.10 and 6,133.60 is: 9,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.40 : 16,223.10 = 6,133.60 : x
  2. Step 2: Convert to fraction form
    10,815.40/16,223.10 = 6,133.60/x
  3. Step 3: Cross multiply
    10,815.40x = 16,223.10 × 6,133.60
  4. Step 4: Simplify right side
    10,815.40x = 99,506,006.16
  5. Step 5: Solve for x
    x = 99,506,006.16/10,815.40
  6. Step 6: Final answer
    x = 9,200.40

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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.