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Finding the Fourth Proportional to 7,558.50, 10,430.82 and 4,246.50

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Solution

The fourth proportional to 7,558.50, 10,430.82 and 4,246.50 is: 5,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.50 : 10,430.82 = 4,246.50 : x
  2. Step 2: Convert to fraction form
    7,558.50/10,430.82 = 4,246.50/x
  3. Step 3: Cross multiply
    7,558.50x = 10,430.82 × 4,246.50
  4. Step 4: Simplify right side
    7,558.50x = 44,294,477.13
  5. Step 5: Solve for x
    x = 44,294,477.13/7,558.50
  6. Step 6: Final answer
    x = 5,860.22

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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.