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Finding the Fourth Proportional to 10,638.95, 15,957.81 and 4,065.80

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Solution

The fourth proportional to 10,638.95, 15,957.81 and 4,065.80 is: 6,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.95 : 15,957.81 = 4,065.80 : x
  2. Step 2: Convert to fraction form
    10,638.95/15,957.81 = 4,065.80/x
  3. Step 3: Cross multiply
    10,638.95x = 15,957.81 × 4,065.80
  4. Step 4: Simplify right side
    10,638.95x = 64,881,184.11
  5. Step 5: Solve for x
    x = 64,881,184.11/10,638.95
  6. Step 6: Final answer
    x = 6,098.46

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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.