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Finding the Fourth Proportional to 6,892.65, 10,339.02 and 4,695.93

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Solution

The fourth proportional to 6,892.65, 10,339.02 and 4,695.93 is: 7,043.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.65 : 10,339.02 = 4,695.93 : x
  2. Step 2: Convert to fraction form
    6,892.65/10,339.02 = 4,695.93/x
  3. Step 3: Cross multiply
    6,892.65x = 10,339.02 × 4,695.93
  4. Step 4: Simplify right side
    6,892.65x = 48,551,314.19
  5. Step 5: Solve for x
    x = 48,551,314.19/6,892.65
  6. Step 6: Final answer
    x = 7,043.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.