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Finding the Fourth Proportional to 30,876.40, 46,314.20 and 7,502.77

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Solution

The fourth proportional to 30,876.40, 46,314.20 and 7,502.77 is: 11,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.40 : 46,314.20 = 7,502.77 : x
  2. Step 2: Convert to fraction form
    30,876.40/46,314.20 = 7,502.77/x
  3. Step 3: Cross multiply
    30,876.40x = 46,314.20 × 7,502.77
  4. Step 4: Simplify right side
    30,876.40x = 347,484,752.82
  5. Step 5: Solve for x
    x = 347,484,752.82/30,876.40
  6. Step 6: Final answer
    x = 11,254.06

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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.