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Finding the Fourth Proportional to 10,322.47, 15,483.61 and 6,134.74

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Solution

The fourth proportional to 10,322.47, 15,483.61 and 6,134.74 is: 9,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.47 : 15,483.61 = 6,134.74 : x
  2. Step 2: Convert to fraction form
    10,322.47/15,483.61 = 6,134.74/x
  3. Step 3: Cross multiply
    10,322.47x = 15,483.61 × 6,134.74
  4. Step 4: Simplify right side
    10,322.47x = 94,987,921.61
  5. Step 5: Solve for x
    x = 94,987,921.61/10,322.47
  6. Step 6: Final answer
    x = 9,202.06

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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.