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Finding the Fourth Proportional to 10,599.35, 15,899.03 and 7,696.10

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Solution

The fourth proportional to 10,599.35, 15,899.03 and 7,696.10 is: 11,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.35 : 15,899.03 = 7,696.10 : x
  2. Step 2: Convert to fraction form
    10,599.35/15,899.03 = 7,696.10/x
  3. Step 3: Cross multiply
    10,599.35x = 15,899.03 × 7,696.10
  4. Step 4: Simplify right side
    10,599.35x = 122,360,406.81
  5. Step 5: Solve for x
    x = 122,360,406.81/10,599.35
  6. Step 6: Final answer
    x = 11,544.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.