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Finding the Fourth Proportional to 11,315.64, 15,615.56 and 6,599

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Solution

The fourth proportional to 11,315.64, 15,615.56 and 6,599 is: 9,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.64 : 15,615.56 = 6,599 : x
  2. Step 2: Convert to fraction form
    11,315.64/15,615.56 = 6,599/x
  3. Step 3: Cross multiply
    11,315.64x = 15,615.56 × 6,599
  4. Step 4: Simplify right side
    11,315.64x = 103,047,080.44
  5. Step 5: Solve for x
    x = 103,047,080.44/11,315.64
  6. Step 6: Final answer
    x = 9,106.61

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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.