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Finding the Fourth Proportional to 10,384.47, 15,581.97 and 4,541.13

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Solution

The fourth proportional to 10,384.47, 15,581.97 and 4,541.13 is: 6,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.47 : 15,581.97 = 4,541.13 : x
  2. Step 2: Convert to fraction form
    10,384.47/15,581.97 = 4,541.13/x
  3. Step 3: Cross multiply
    10,384.47x = 15,581.97 × 4,541.13
  4. Step 4: Simplify right side
    10,384.47x = 70,759,751.43
  5. Step 5: Solve for x
    x = 70,759,751.43/10,384.47
  6. Step 6: Final answer
    x = 6,814.00

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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.