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Finding the Fourth Proportional to 10,151.55, 15,210.86 and 5,214.33

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Solution

The fourth proportional to 10,151.55, 15,210.86 and 5,214.33 is: 7,813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.55 : 15,210.86 = 5,214.33 : x
  2. Step 2: Convert to fraction form
    10,151.55/15,210.86 = 5,214.33/x
  3. Step 3: Cross multiply
    10,151.55x = 15,210.86 × 5,214.33
  4. Step 4: Simplify right side
    10,151.55x = 79,314,417.55
  5. Step 5: Solve for x
    x = 79,314,417.55/10,151.55
  6. Step 6: Final answer
    x = 7,813.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.