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Finding the Fourth Proportional to 10,822.61, 16,233.31 and 2,925.01

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Solution

The fourth proportional to 10,822.61, 16,233.31 and 2,925.01 is: 4,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.61 : 16,233.31 = 2,925.01 : x
  2. Step 2: Convert to fraction form
    10,822.61/16,233.31 = 2,925.01/x
  3. Step 3: Cross multiply
    10,822.61x = 16,233.31 × 2,925.01
  4. Step 4: Simplify right side
    10,822.61x = 47,482,618.03
  5. Step 5: Solve for x
    x = 47,482,618.03/10,822.61
  6. Step 6: Final answer
    x = 4,387.35

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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.