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Finding the Fourth Proportional to 10,024.07, 13,832.07 and 5,547.20

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Solution

The fourth proportional to 10,024.07, 13,832.07 and 5,547.20 is: 7,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.07 : 13,832.07 = 5,547.20 : x
  2. Step 2: Convert to fraction form
    10,024.07/13,832.07 = 5,547.20/x
  3. Step 3: Cross multiply
    10,024.07x = 13,832.07 × 5,547.20
  4. Step 4: Simplify right side
    10,024.07x = 76,729,258.70
  5. Step 5: Solve for x
    x = 76,729,258.70/10,024.07
  6. Step 6: Final answer
    x = 7,654.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.