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Finding the Fourth Proportional to 10,762.63, 14,853.20 and 6,046.91

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Solution

The fourth proportional to 10,762.63, 14,853.20 and 6,046.91 is: 8,345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.63 : 14,853.20 = 6,046.91 : x
  2. Step 2: Convert to fraction form
    10,762.63/14,853.20 = 6,046.91/x
  3. Step 3: Cross multiply
    10,762.63x = 14,853.20 × 6,046.91
  4. Step 4: Simplify right side
    10,762.63x = 89,815,963.61
  5. Step 5: Solve for x
    x = 89,815,963.61/10,762.63
  6. Step 6: Final answer
    x = 8,345.17

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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.