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Finding the Fourth Proportional to 10,783.86, 14,886.75 and 6,306.99

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Solution

The fourth proportional to 10,783.86, 14,886.75 and 6,306.99 is: 8,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.86 : 14,886.75 = 6,306.99 : x
  2. Step 2: Convert to fraction form
    10,783.86/14,886.75 = 6,306.99/x
  3. Step 3: Cross multiply
    10,783.86x = 14,886.75 × 6,306.99
  4. Step 4: Simplify right side
    10,783.86x = 93,890,583.38
  5. Step 5: Solve for x
    x = 93,890,583.38/10,783.86
  6. Step 6: Final answer
    x = 8,706.58

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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.