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Finding the Fourth Proportional to 10,582.32, 15,872.98 and 4,340.79

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Solution

The fourth proportional to 10,582.32, 15,872.98 and 4,340.79 is: 6,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.32 : 15,872.98 = 4,340.79 : x
  2. Step 2: Convert to fraction form
    10,582.32/15,872.98 = 4,340.79/x
  3. Step 3: Cross multiply
    10,582.32x = 15,872.98 × 4,340.79
  4. Step 4: Simplify right side
    10,582.32x = 68,901,193.49
  5. Step 5: Solve for x
    x = 68,901,193.49/10,582.32
  6. Step 6: Final answer
    x = 6,510.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.