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Finding the Fourth Proportional to 10,021.46, 15,032.22 and 4,178

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Solution

The fourth proportional to 10,021.46, 15,032.22 and 4,178 is: 6,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.46 : 15,032.22 = 4,178 : x
  2. Step 2: Convert to fraction form
    10,021.46/15,032.22 = 4,178/x
  3. Step 3: Cross multiply
    10,021.46x = 15,032.22 × 4,178
  4. Step 4: Simplify right side
    10,021.46x = 62,804,615.16
  5. Step 5: Solve for x
    x = 62,804,615.16/10,021.46
  6. Step 6: Final answer
    x = 6,267.01

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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.