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Finding the Fourth Proportional to 7,295.16, 10,065 and 4,312.02

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Solution

The fourth proportional to 7,295.16, 10,065 and 4,312.02 is: 5,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.16 : 10,065 = 4,312.02 : x
  2. Step 2: Convert to fraction form
    7,295.16/10,065 = 4,312.02/x
  3. Step 3: Cross multiply
    7,295.16x = 10,065 × 4,312.02
  4. Step 4: Simplify right side
    7,295.16x = 43,400,481.30
  5. Step 5: Solve for x
    x = 43,400,481.30/7,295.16
  6. Step 6: Final answer
    x = 5,949.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.