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Finding the Fourth Proportional to 10,965.64, 16,434.06 and 9,553

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Solution

The fourth proportional to 10,965.64, 16,434.06 and 9,553 is: 14,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.64 : 16,434.06 = 9,553 : x
  2. Step 2: Convert to fraction form
    10,965.64/16,434.06 = 9,553/x
  3. Step 3: Cross multiply
    10,965.64x = 16,434.06 × 9,553
  4. Step 4: Simplify right side
    10,965.64x = 156,994,575.18
  5. Step 5: Solve for x
    x = 156,994,575.18/10,965.64
  6. Step 6: Final answer
    x = 14,316.96

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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.