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Finding the Fourth Proportional to 10,646.16, 15,862.26 and 10,050

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Solution

The fourth proportional to 10,646.16, 15,862.26 and 10,050 is: 14,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.16 : 15,862.26 = 10,050 : x
  2. Step 2: Convert to fraction form
    10,646.16/15,862.26 = 10,050/x
  3. Step 3: Cross multiply
    10,646.16x = 15,862.26 × 10,050
  4. Step 4: Simplify right side
    10,646.16x = 159,415,713
  5. Step 5: Solve for x
    x = 159,415,713/10,646.16
  6. Step 6: Final answer
    x = 14,974.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.