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Finding the Fourth Proportional to 10,074.57, 13,903.21 and 5,598.91

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Solution

The fourth proportional to 10,074.57, 13,903.21 and 5,598.91 is: 7,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.57 : 13,903.21 = 5,598.91 : x
  2. Step 2: Convert to fraction form
    10,074.57/13,903.21 = 5,598.91/x
  3. Step 3: Cross multiply
    10,074.57x = 13,903.21 × 5,598.91
  4. Step 4: Simplify right side
    10,074.57x = 77,842,821.50
  5. Step 5: Solve for x
    x = 77,842,821.50/10,074.57
  6. Step 6: Final answer
    x = 7,726.66

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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.