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Finding the Fourth Proportional to 7,532, 10,394.16 and 4,588

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Solution

The fourth proportional to 7,532, 10,394.16 and 4,588 is: 6,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532 : 10,394.16 = 4,588 : x
  2. Step 2: Convert to fraction form
    7,532/10,394.16 = 4,588/x
  3. Step 3: Cross multiply
    7,532x = 10,394.16 × 4,588
  4. Step 4: Simplify right side
    7,532x = 47,688,406.08
  5. Step 5: Solve for x
    x = 47,688,406.08/7,532
  6. Step 6: Final answer
    x = 6,331.44

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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.