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Finding the Fourth Proportional to 5,173.65, 7,140.33 and 5,032.93

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Solution

The fourth proportional to 5,173.65, 7,140.33 and 5,032.93 is: 6,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.65 : 7,140.33 = 5,032.93 : x
  2. Step 2: Convert to fraction form
    5,173.65/7,140.33 = 5,032.93/x
  3. Step 3: Cross multiply
    5,173.65x = 7,140.33 × 5,032.93
  4. Step 4: Simplify right side
    5,173.65x = 35,936,781.07
  5. Step 5: Solve for x
    x = 35,936,781.07/5,173.65
  6. Step 6: Final answer
    x = 6,946.12

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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.