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Finding the Fourth Proportional to 10,366.16, 15,552.03 and 5,434.47

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Solution

The fourth proportional to 10,366.16, 15,552.03 and 5,434.47 is: 8,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.16 : 15,552.03 = 5,434.47 : x
  2. Step 2: Convert to fraction form
    10,366.16/15,552.03 = 5,434.47/x
  3. Step 3: Cross multiply
    10,366.16x = 15,552.03 × 5,434.47
  4. Step 4: Simplify right side
    10,366.16x = 84,517,040.47
  5. Step 5: Solve for x
    x = 84,517,040.47/10,366.16
  6. Step 6: Final answer
    x = 8,153.17

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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.