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Finding the Fourth Proportional to 11,377.30, 15,700.74 and 6,341.84

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Solution

The fourth proportional to 11,377.30, 15,700.74 and 6,341.84 is: 8,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.30 : 15,700.74 = 6,341.84 : x
  2. Step 2: Convert to fraction form
    11,377.30/15,700.74 = 6,341.84/x
  3. Step 3: Cross multiply
    11,377.30x = 15,700.74 × 6,341.84
  4. Step 4: Simplify right side
    11,377.30x = 99,571,502.46
  5. Step 5: Solve for x
    x = 99,571,502.46/11,377.30
  6. Step 6: Final answer
    x = 8,751.77

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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.