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Finding the Fourth Proportional to 6,925.47, 10,382 and 2,541.91

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Solution

The fourth proportional to 6,925.47, 10,382 and 2,541.91 is: 3,810.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925.47 : 10,382 = 2,541.91 : x
  2. Step 2: Convert to fraction form
    6,925.47/10,382 = 2,541.91/x
  3. Step 3: Cross multiply
    6,925.47x = 10,382 × 2,541.91
  4. Step 4: Simplify right side
    6,925.47x = 26,390,109.62
  5. Step 5: Solve for x
    x = 26,390,109.62/6,925.47
  6. Step 6: Final answer
    x = 3,810.59

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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.