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Finding the Fourth Proportional to 10,532.63, 14,534.94 and 5,816.81

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Solution

The fourth proportional to 10,532.63, 14,534.94 and 5,816.81 is: 8,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.63 : 14,534.94 = 5,816.81 : x
  2. Step 2: Convert to fraction form
    10,532.63/14,534.94 = 5,816.81/x
  3. Step 3: Cross multiply
    10,532.63x = 14,534.94 × 5,816.81
  4. Step 4: Simplify right side
    10,532.63x = 84,547,042.49
  5. Step 5: Solve for x
    x = 84,547,042.49/10,532.63
  6. Step 6: Final answer
    x = 8,027.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.