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Finding the Fourth Proportional to 10,897.70, 16,303.35 and 9,452.90

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Solution

The fourth proportional to 10,897.70, 16,303.35 and 9,452.90 is: 14,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.70 : 16,303.35 = 9,452.90 : x
  2. Step 2: Convert to fraction form
    10,897.70/16,303.35 = 9,452.90/x
  3. Step 3: Cross multiply
    10,897.70x = 16,303.35 × 9,452.90
  4. Step 4: Simplify right side
    10,897.70x = 154,113,937.22
  5. Step 5: Solve for x
    x = 154,113,937.22/10,897.70
  6. Step 6: Final answer
    x = 14,141.88

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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.