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Finding the Fourth Proportional to 7,077.61, 10,606.34 and 5,214.07

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Solution

The fourth proportional to 7,077.61, 10,606.34 and 5,214.07 is: 7,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.61 : 10,606.34 = 5,214.07 : x
  2. Step 2: Convert to fraction form
    7,077.61/10,606.34 = 5,214.07/x
  3. Step 3: Cross multiply
    7,077.61x = 10,606.34 × 5,214.07
  4. Step 4: Simplify right side
    7,077.61x = 55,302,225.50
  5. Step 5: Solve for x
    x = 55,302,225.50/7,077.61
  6. Step 6: Final answer
    x = 7,813.69

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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.