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Finding the Fourth Proportional to 10,521.75, 15,779.93 and 3,124.50

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Solution

The fourth proportional to 10,521.75, 15,779.93 and 3,124.50 is: 4,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.75 : 15,779.93 = 3,124.50 : x
  2. Step 2: Convert to fraction form
    10,521.75/15,779.93 = 3,124.50/x
  3. Step 3: Cross multiply
    10,521.75x = 15,779.93 × 3,124.50
  4. Step 4: Simplify right side
    10,521.75x = 49,304,391.29
  5. Step 5: Solve for x
    x = 49,304,391.29/10,521.75
  6. Step 6: Final answer
    x = 4,685.95

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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.