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Finding the Fourth Proportional to 10,470.91, 14,434.90 and 7,485.65

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Solution

The fourth proportional to 10,470.91, 14,434.90 and 7,485.65 is: 10,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.91 : 14,434.90 = 7,485.65 : x
  2. Step 2: Convert to fraction form
    10,470.91/14,434.90 = 7,485.65/x
  3. Step 3: Cross multiply
    10,470.91x = 14,434.90 × 7,485.65
  4. Step 4: Simplify right side
    10,470.91x = 108,054,609.19
  5. Step 5: Solve for x
    x = 108,054,609.19/10,470.91
  6. Step 6: Final answer
    x = 10,319.51

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