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Finding the Fourth Proportional to 10,457.50, 15,685.80 and 2,666.08

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Solution

The fourth proportional to 10,457.50, 15,685.80 and 2,666.08 is: 3,999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.50 : 15,685.80 = 2,666.08 : x
  2. Step 2: Convert to fraction form
    10,457.50/15,685.80 = 2,666.08/x
  3. Step 3: Cross multiply
    10,457.50x = 15,685.80 × 2,666.08
  4. Step 4: Simplify right side
    10,457.50x = 41,819,597.66
  5. Step 5: Solve for x
    x = 41,819,597.66/10,457.50
  6. Step 6: Final answer
    x = 3,999.01

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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.