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Finding the Fourth Proportional to 11,315.64, 15,606.09 and 7,283.10

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Solution

The fourth proportional to 11,315.64, 15,606.09 and 7,283.10 is: 10,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.64 : 15,606.09 = 7,283.10 : x
  2. Step 2: Convert to fraction form
    11,315.64/15,606.09 = 7,283.10/x
  3. Step 3: Cross multiply
    11,315.64x = 15,606.09 × 7,283.10
  4. Step 4: Simplify right side
    11,315.64x = 113,660,714.08
  5. Step 5: Solve for x
    x = 113,660,714.08/11,315.64
  6. Step 6: Final answer
    x = 10,044.57

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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.