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Finding the Fourth Proportional to 10,550, 15,823.28 and 3,533.12

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Solution

The fourth proportional to 10,550, 15,823.28 and 3,533.12 is: 5,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550 : 15,823.28 = 3,533.12 : x
  2. Step 2: Convert to fraction form
    10,550/15,823.28 = 3,533.12/x
  3. Step 3: Cross multiply
    10,550x = 15,823.28 × 3,533.12
  4. Step 4: Simplify right side
    10,550x = 55,905,547.03
  5. Step 5: Solve for x
    x = 55,905,547.03/10,550
  6. Step 6: Final answer
    x = 5,299.10

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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.