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Finding the Fourth Proportional to 10,751.04, 16,130.43 and 4,827.47

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Solution

The fourth proportional to 10,751.04, 16,130.43 and 4,827.47 is: 7,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.04 : 16,130.43 = 4,827.47 : x
  2. Step 2: Convert to fraction form
    10,751.04/16,130.43 = 4,827.47/x
  3. Step 3: Cross multiply
    10,751.04x = 16,130.43 × 4,827.47
  4. Step 4: Simplify right side
    10,751.04x = 77,869,086.26
  5. Step 5: Solve for x
    x = 77,869,086.26/10,751.04
  6. Step 6: Final answer
    x = 7,242.94

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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.