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Finding the Fourth Proportional to 10,471.64, 15,707.22 and 3,075.93

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Solution

The fourth proportional to 10,471.64, 15,707.22 and 3,075.93 is: 4,613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.64 : 15,707.22 = 3,075.93 : x
  2. Step 2: Convert to fraction form
    10,471.64/15,707.22 = 3,075.93/x
  3. Step 3: Cross multiply
    10,471.64x = 15,707.22 × 3,075.93
  4. Step 4: Simplify right side
    10,471.64x = 48,314,309.21
  5. Step 5: Solve for x
    x = 48,314,309.21/10,471.64
  6. Step 6: Final answer
    x = 4,613.83

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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.