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Finding the Fourth Proportional to 10,711.96, 16,054.98 and 4,543

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Solution

The fourth proportional to 10,711.96, 16,054.98 and 4,543 is: 6,809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.96 : 16,054.98 = 4,543 : x
  2. Step 2: Convert to fraction form
    10,711.96/16,054.98 = 4,543/x
  3. Step 3: Cross multiply
    10,711.96x = 16,054.98 × 4,543
  4. Step 4: Simplify right side
    10,711.96x = 72,937,774.14
  5. Step 5: Solve for x
    x = 72,937,774.14/10,711.96
  6. Step 6: Final answer
    x = 6,809.00

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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.