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Finding the Fourth Proportional to 10,288.81, 15,434.35 and 4,048.00

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Solution

The fourth proportional to 10,288.81, 15,434.35 and 4,048.00 is: 6,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.81 : 15,434.35 = 4,048.00 : x
  2. Step 2: Convert to fraction form
    10,288.81/15,434.35 = 4,048.00/x
  3. Step 3: Cross multiply
    10,288.81x = 15,434.35 × 4,048.00
  4. Step 4: Simplify right side
    10,288.81x = 62,478,269.12
  5. Step 5: Solve for x
    x = 62,478,269.12/10,288.81
  6. Step 6: Final answer
    x = 6,072.45

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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.