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Finding the Fourth Proportional to 10,412.97, 15,603.05 and 5,726.02

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Solution

The fourth proportional to 10,412.97, 15,603.05 and 5,726.02 is: 8,580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.97 : 15,603.05 = 5,726.02 : x
  2. Step 2: Convert to fraction form
    10,412.97/15,603.05 = 5,726.02/x
  3. Step 3: Cross multiply
    10,412.97x = 15,603.05 × 5,726.02
  4. Step 4: Simplify right side
    10,412.97x = 89,343,351.67
  5. Step 5: Solve for x
    x = 89,343,351.67/10,412.97
  6. Step 6: Final answer
    x = 8,580.01

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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.