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Finding the Fourth Proportional to 10,585.84, 14,604.35 and 6,808.51

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Solution

The fourth proportional to 10,585.84, 14,604.35 and 6,808.51 is: 9,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.84 : 14,604.35 = 6,808.51 : x
  2. Step 2: Convert to fraction form
    10,585.84/14,604.35 = 6,808.51/x
  3. Step 3: Cross multiply
    10,585.84x = 14,604.35 × 6,808.51
  4. Step 4: Simplify right side
    10,585.84x = 99,433,863.02
  5. Step 5: Solve for x
    x = 99,433,863.02/10,585.84
  6. Step 6: Final answer
    x = 9,393.10

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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.