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Finding the Fourth Proportional to 10,506.54, 15,762.12 and 3,111.58

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Solution

The fourth proportional to 10,506.54, 15,762.12 and 3,111.58 is: 4,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.54 : 15,762.12 = 3,111.58 : x
  2. Step 2: Convert to fraction form
    10,506.54/15,762.12 = 3,111.58/x
  3. Step 3: Cross multiply
    10,506.54x = 15,762.12 × 3,111.58
  4. Step 4: Simplify right side
    10,506.54x = 49,045,097.35
  5. Step 5: Solve for x
    x = 49,045,097.35/10,506.54
  6. Step 6: Final answer
    x = 4,668.05

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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.