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Finding the Fourth Proportional to 7,587.46, 10,470.84 and 4,230.58

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Solution

The fourth proportional to 7,587.46, 10,470.84 and 4,230.58 is: 5,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.46 : 10,470.84 = 4,230.58 : x
  2. Step 2: Convert to fraction form
    7,587.46/10,470.84 = 4,230.58/x
  3. Step 3: Cross multiply
    7,587.46x = 10,470.84 × 4,230.58
  4. Step 4: Simplify right side
    7,587.46x = 44,297,726.29
  5. Step 5: Solve for x
    x = 44,297,726.29/7,587.46
  6. Step 6: Final answer
    x = 5,838.28

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