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Finding the Fourth Proportional to 10,638.90, 15,959.46 and 4,070.58

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Solution

The fourth proportional to 10,638.90, 15,959.46 and 4,070.58 is: 6,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.90 : 15,959.46 = 4,070.58 : x
  2. Step 2: Convert to fraction form
    10,638.90/15,959.46 = 4,070.58/x
  3. Step 3: Cross multiply
    10,638.90x = 15,959.46 × 4,070.58
  4. Step 4: Simplify right side
    10,638.90x = 64,964,258.69
  5. Step 5: Solve for x
    x = 64,964,258.69/10,638.90
  6. Step 6: Final answer
    x = 6,106.29

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