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Finding the Fourth Proportional to 10,024, 13,832.89 and 5,547.81

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Solution

The fourth proportional to 10,024, 13,832.89 and 5,547.81 is: 7,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024 : 13,832.89 = 5,547.81 : x
  2. Step 2: Convert to fraction form
    10,024/13,832.89 = 5,547.81/x
  3. Step 3: Cross multiply
    10,024x = 13,832.89 × 5,547.81
  4. Step 4: Simplify right side
    10,024x = 76,742,245.47
  5. Step 5: Solve for x
    x = 76,742,245.47/10,024
  6. Step 6: Final answer
    x = 7,655.85

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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.