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Finding the Fourth Proportional to 10,478.19, 15,713.10 and 4,237.01

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Solution

The fourth proportional to 10,478.19, 15,713.10 and 4,237.01 is: 6,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.19 : 15,713.10 = 4,237.01 : x
  2. Step 2: Convert to fraction form
    10,478.19/15,713.10 = 4,237.01/x
  3. Step 3: Cross multiply
    10,478.19x = 15,713.10 × 4,237.01
  4. Step 4: Simplify right side
    10,478.19x = 66,576,483.27
  5. Step 5: Solve for x
    x = 66,576,483.27/10,478.19
  6. Step 6: Final answer
    x = 6,353.82

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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.