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Finding the Fourth Proportional to 10,364.57, 14,305.41 and 6,587.00

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Solution

The fourth proportional to 10,364.57, 14,305.41 and 6,587.00 is: 9,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.57 : 14,305.41 = 6,587.00 : x
  2. Step 2: Convert to fraction form
    10,364.57/14,305.41 = 6,587.00/x
  3. Step 3: Cross multiply
    10,364.57x = 14,305.41 × 6,587.00
  4. Step 4: Simplify right side
    10,364.57x = 94,229,664.14
  5. Step 5: Solve for x
    x = 94,229,664.14/10,364.57
  6. Step 6: Final answer
    x = 9,091.52

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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.