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Finding the Fourth Proportional to 10,888.16, 16,335.10 and 4,648.52

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Solution

The fourth proportional to 10,888.16, 16,335.10 and 4,648.52 is: 6,974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,888.16 : 16,335.10 = 4,648.52 : x
  2. Step 2: Convert to fraction form
    10,888.16/16,335.10 = 4,648.52/x
  3. Step 3: Cross multiply
    10,888.16x = 16,335.10 × 4,648.52
  4. Step 4: Simplify right side
    10,888.16x = 75,934,039.05
  5. Step 5: Solve for x
    x = 75,934,039.05/10,888.16
  6. Step 6: Final answer
    x = 6,974.00

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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.