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Finding the Fourth Proportional to 7,613.19, 10,505.77 and 4,210.00

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Solution

The fourth proportional to 7,613.19, 10,505.77 and 4,210.00 is: 5,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.19 : 10,505.77 = 4,210.00 : x
  2. Step 2: Convert to fraction form
    7,613.19/10,505.77 = 4,210.00/x
  3. Step 3: Cross multiply
    7,613.19x = 10,505.77 × 4,210.00
  4. Step 4: Simplify right side
    7,613.19x = 44,229,337.69
  5. Step 5: Solve for x
    x = 44,229,337.69/7,613.19
  6. Step 6: Final answer
    x = 5,809.57

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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.