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Finding the Fourth Proportional to 35,664, 53,496 and 11,040

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Solution

The fourth proportional to 35,664, 53,496 and 11,040 is: 16,560

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,664 : 53,496 = 11,040 : x
  2. Step 2: Convert to fraction form
    35,664/53,496 = 11,040/x
  3. Step 3: Cross multiply
    35,664x = 53,496 × 11,040
  4. Step 4: Simplify right side
    35,664x = 590,595,840
  5. Step 5: Solve for x
    x = 590,595,840/35,664
  6. Step 6: Final answer
    x = 16,560

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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.