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Finding the Fourth Proportional to 10,585.63, 14,601.53 and 6,813.70

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Solution

The fourth proportional to 10,585.63, 14,601.53 and 6,813.70 is: 9,398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.63 : 14,601.53 = 6,813.70 : x
  2. Step 2: Convert to fraction form
    10,585.63/14,601.53 = 6,813.70/x
  3. Step 3: Cross multiply
    10,585.63x = 14,601.53 × 6,813.70
  4. Step 4: Simplify right side
    10,585.63x = 99,490,425.49
  5. Step 5: Solve for x
    x = 99,490,425.49/10,585.63
  6. Step 6: Final answer
    x = 9,398.63

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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.