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Finding the Fourth Proportional to 31,130.40, 46,695.18 and 7,757.04

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Solution

The fourth proportional to 31,130.40, 46,695.18 and 7,757.04 is: 11,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130.40 : 46,695.18 = 7,757.04 : x
  2. Step 2: Convert to fraction form
    31,130.40/46,695.18 = 7,757.04/x
  3. Step 3: Cross multiply
    31,130.40x = 46,695.18 × 7,757.04
  4. Step 4: Simplify right side
    31,130.40x = 362,216,379.07
  5. Step 5: Solve for x
    x = 362,216,379.07/31,130.40
  6. Step 6: Final answer
    x = 11,635.46

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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.