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Finding the Fourth Proportional to 10,117.65, 15,172.62 and 3,095.52

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Solution

The fourth proportional to 10,117.65, 15,172.62 and 3,095.52 is: 4,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.65 : 15,172.62 = 3,095.52 : x
  2. Step 2: Convert to fraction form
    10,117.65/15,172.62 = 3,095.52/x
  3. Step 3: Cross multiply
    10,117.65x = 15,172.62 × 3,095.52
  4. Step 4: Simplify right side
    10,117.65x = 46,967,148.66
  5. Step 5: Solve for x
    x = 46,967,148.66/10,117.65
  6. Step 6: Final answer
    x = 4,642.10

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