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Finding the Fourth Proportional to 10,730.40, 16,095.60 and 9,002.40

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Solution

The fourth proportional to 10,730.40, 16,095.60 and 9,002.40 is: 13,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.40 : 16,095.60 = 9,002.40 : x
  2. Step 2: Convert to fraction form
    10,730.40/16,095.60 = 9,002.40/x
  3. Step 3: Cross multiply
    10,730.40x = 16,095.60 × 9,002.40
  4. Step 4: Simplify right side
    10,730.40x = 144,899,029.44
  5. Step 5: Solve for x
    x = 144,899,029.44/10,730.40
  6. Step 6: Final answer
    x = 13,503.60

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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.