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Finding the Fourth Proportional to 10,553.61, 15,833.30 and 3,534.78

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Solution

The fourth proportional to 10,553.61, 15,833.30 and 3,534.78 is: 5,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.61 : 15,833.30 = 3,534.78 : x
  2. Step 2: Convert to fraction form
    10,553.61/15,833.30 = 3,534.78/x
  3. Step 3: Cross multiply
    10,553.61x = 15,833.30 × 3,534.78
  4. Step 4: Simplify right side
    10,553.61x = 55,967,232.17
  5. Step 5: Solve for x
    x = 55,967,232.17/10,553.61
  6. Step 6: Final answer
    x = 5,303.14

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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.