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Finding the Fourth Proportional to 10,707.90, 16,061.85 and 4,875.90

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Solution

The fourth proportional to 10,707.90, 16,061.85 and 4,875.90 is: 7,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.90 : 16,061.85 = 4,875.90 : x
  2. Step 2: Convert to fraction form
    10,707.90/16,061.85 = 4,875.90/x
  3. Step 3: Cross multiply
    10,707.90x = 16,061.85 × 4,875.90
  4. Step 4: Simplify right side
    10,707.90x = 78,315,974.42
  5. Step 5: Solve for x
    x = 78,315,974.42/10,707.90
  6. Step 6: Final answer
    x = 7,313.85

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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.