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Finding the Fourth Proportional to 10,588.15, 14,617.98 and 6,614.65

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Solution

The fourth proportional to 10,588.15, 14,617.98 and 6,614.65 is: 9,132.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.15 : 14,617.98 = 6,614.65 : x
  2. Step 2: Convert to fraction form
    10,588.15/14,617.98 = 6,614.65/x
  3. Step 3: Cross multiply
    10,588.15x = 14,617.98 × 6,614.65
  4. Step 4: Simplify right side
    10,588.15x = 96,692,784.86
  5. Step 5: Solve for x
    x = 96,692,784.86/10,588.15
  6. Step 6: Final answer
    x = 9,132.17

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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.