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Finding the Fourth Proportional to 10,763.64, 14,853.42 and 6,047.82

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Solution

The fourth proportional to 10,763.64, 14,853.42 and 6,047.82 is: 8,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.64 : 14,853.42 = 6,047.82 : x
  2. Step 2: Convert to fraction form
    10,763.64/14,853.42 = 6,047.82/x
  3. Step 3: Cross multiply
    10,763.64x = 14,853.42 × 6,047.82
  4. Step 4: Simplify right side
    10,763.64x = 89,830,810.54
  5. Step 5: Solve for x
    x = 89,830,810.54/10,763.64
  6. Step 6: Final answer
    x = 8,345.77

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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.