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Finding the Fourth Proportional to 10,875.52, 16,310.85 and 5,323.30

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Solution

The fourth proportional to 10,875.52, 16,310.85 and 5,323.30 is: 7,983.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.52 : 16,310.85 = 5,323.30 : x
  2. Step 2: Convert to fraction form
    10,875.52/16,310.85 = 5,323.30/x
  3. Step 3: Cross multiply
    10,875.52x = 16,310.85 × 5,323.30
  4. Step 4: Simplify right side
    10,875.52x = 86,827,547.81
  5. Step 5: Solve for x
    x = 86,827,547.81/10,875.52
  6. Step 6: Final answer
    x = 7,983.76

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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.