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Finding the Fourth Proportional to 10,312.16, 15,469.05 and 4,071.74

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Solution

The fourth proportional to 10,312.16, 15,469.05 and 4,071.74 is: 6,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.16 : 15,469.05 = 4,071.74 : x
  2. Step 2: Convert to fraction form
    10,312.16/15,469.05 = 4,071.74/x
  3. Step 3: Cross multiply
    10,312.16x = 15,469.05 × 4,071.74
  4. Step 4: Simplify right side
    10,312.16x = 62,985,949.65
  5. Step 5: Solve for x
    x = 62,985,949.65/10,312.16
  6. Step 6: Final answer
    x = 6,107.93

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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.