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Finding the Fourth Proportional to 35,856.07, 53,784 and 10,895.99

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Solution

The fourth proportional to 35,856.07, 53,784 and 10,895.99 is: 16,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,856.07 : 53,784 = 10,895.99 : x
  2. Step 2: Convert to fraction form
    35,856.07/53,784 = 10,895.99/x
  3. Step 3: Cross multiply
    35,856.07x = 53,784 × 10,895.99
  4. Step 4: Simplify right side
    35,856.07x = 586,029,657.24
  5. Step 5: Solve for x
    x = 586,029,657.24/35,856.07
  6. Step 6: Final answer
    x = 16,343.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.