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Finding the Fourth Proportional to 7,355.09, 10,149.77 and 4,210.67

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Solution

The fourth proportional to 7,355.09, 10,149.77 and 4,210.67 is: 5,810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355.09 : 10,149.77 = 4,210.67 : x
  2. Step 2: Convert to fraction form
    7,355.09/10,149.77 = 4,210.67/x
  3. Step 3: Cross multiply
    7,355.09x = 10,149.77 × 4,210.67
  4. Step 4: Simplify right side
    7,355.09x = 42,737,281.30
  5. Step 5: Solve for x
    x = 42,737,281.30/7,355.09
  6. Step 6: Final answer
    x = 5,810.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.