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Finding the Fourth Proportional to 11,352.84, 15,665.52 and 6,315.72

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Solution

The fourth proportional to 11,352.84, 15,665.52 and 6,315.72 is: 8,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.84 : 15,665.52 = 6,315.72 : x
  2. Step 2: Convert to fraction form
    11,352.84/15,665.52 = 6,315.72/x
  3. Step 3: Cross multiply
    11,352.84x = 15,665.52 × 6,315.72
  4. Step 4: Simplify right side
    11,352.84x = 98,939,037.97
  5. Step 5: Solve for x
    x = 98,939,037.97/11,352.84
  6. Step 6: Final answer
    x = 8,714.92

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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.