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Finding the Fourth Proportional to 10,457.94, 15,687.72 and 4,535.22

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Solution

The fourth proportional to 10,457.94, 15,687.72 and 4,535.22 is: 6,803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.94 : 15,687.72 = 4,535.22 : x
  2. Step 2: Convert to fraction form
    10,457.94/15,687.72 = 4,535.22/x
  3. Step 3: Cross multiply
    10,457.94x = 15,687.72 × 4,535.22
  4. Step 4: Simplify right side
    10,457.94x = 71,147,261.50
  5. Step 5: Solve for x
    x = 71,147,261.50/10,457.94
  6. Step 6: Final answer
    x = 6,803.18

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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.