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Finding the Fourth Proportional to 7,565, 10,432.52 and 4,539.66

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Solution

The fourth proportional to 7,565, 10,432.52 and 4,539.66 is: 6,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565 : 10,432.52 = 4,539.66 : x
  2. Step 2: Convert to fraction form
    7,565/10,432.52 = 4,539.66/x
  3. Step 3: Cross multiply
    7,565x = 10,432.52 × 4,539.66
  4. Step 4: Simplify right side
    7,565x = 47,360,093.74
  5. Step 5: Solve for x
    x = 47,360,093.74/7,565
  6. Step 6: Final answer
    x = 6,260.42

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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.