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Finding the Fourth Proportional to 8,741.42, 12,063.10 and 4,762.53

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Solution

The fourth proportional to 8,741.42, 12,063.10 and 4,762.53 is: 6,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.42 : 12,063.10 = 4,762.53 : x
  2. Step 2: Convert to fraction form
    8,741.42/12,063.10 = 4,762.53/x
  3. Step 3: Cross multiply
    8,741.42x = 12,063.10 × 4,762.53
  4. Step 4: Simplify right side
    8,741.42x = 57,450,875.64
  5. Step 5: Solve for x
    x = 57,450,875.64/8,741.42
  6. Step 6: Final answer
    x = 6,572.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.