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Finding the Fourth Proportional to 10,045.52, 15,071.16 and 3,890

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Solution

The fourth proportional to 10,045.52, 15,071.16 and 3,890 is: 5,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.52 : 15,071.16 = 3,890 : x
  2. Step 2: Convert to fraction form
    10,045.52/15,071.16 = 3,890/x
  3. Step 3: Cross multiply
    10,045.52x = 15,071.16 × 3,890
  4. Step 4: Simplify right side
    10,045.52x = 58,626,812.40
  5. Step 5: Solve for x
    x = 58,626,812.40/10,045.52
  6. Step 6: Final answer
    x = 5,836.12

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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.