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Finding the Fourth Proportional to 7,429.65, 10,255.59 and 5,070.12

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Solution

The fourth proportional to 7,429.65, 10,255.59 and 5,070.12 is: 6,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.65 : 10,255.59 = 5,070.12 : x
  2. Step 2: Convert to fraction form
    7,429.65/10,255.59 = 5,070.12/x
  3. Step 3: Cross multiply
    7,429.65x = 10,255.59 × 5,070.12
  4. Step 4: Simplify right side
    7,429.65x = 51,997,071.97
  5. Step 5: Solve for x
    x = 51,997,071.97/7,429.65
  6. Step 6: Final answer
    x = 6,998.59

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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.