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Finding the Fourth Proportional to 10,102.65, 15,152.54 and 3,176.25

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Solution

The fourth proportional to 10,102.65, 15,152.54 and 3,176.25 is: 4,763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.65 : 15,152.54 = 3,176.25 : x
  2. Step 2: Convert to fraction form
    10,102.65/15,152.54 = 3,176.25/x
  3. Step 3: Cross multiply
    10,102.65x = 15,152.54 × 3,176.25
  4. Step 4: Simplify right side
    10,102.65x = 48,128,239.29
  5. Step 5: Solve for x
    x = 48,128,239.29/10,102.65
  6. Step 6: Final answer
    x = 4,763.92

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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.