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Finding the Fourth Proportional to 10,900.90, 16,358.10 and 4,326.40

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Solution

The fourth proportional to 10,900.90, 16,358.10 and 4,326.40 is: 6,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.90 : 16,358.10 = 4,326.40 : x
  2. Step 2: Convert to fraction form
    10,900.90/16,358.10 = 4,326.40/x
  3. Step 3: Cross multiply
    10,900.90x = 16,358.10 × 4,326.40
  4. Step 4: Simplify right side
    10,900.90x = 70,771,683.84
  5. Step 5: Solve for x
    x = 70,771,683.84/10,900.90
  6. Step 6: Final answer
    x = 6,492.28

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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.