Home / 10,966.98-16,457.16-5,124

Finding the Fourth Proportional to 10,966.98, 16,457.16 and 5,124

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Solution

The fourth proportional to 10,966.98, 16,457.16 and 5,124 is: 7,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.98 : 16,457.16 = 5,124 : x
  2. Step 2: Convert to fraction form
    10,966.98/16,457.16 = 5,124/x
  3. Step 3: Cross multiply
    10,966.98x = 16,457.16 × 5,124
  4. Step 4: Simplify right side
    10,966.98x = 84,326,487.84
  5. Step 5: Solve for x
    x = 84,326,487.84/10,966.98
  6. Step 6: Final answer
    x = 7,689.13

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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.