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Finding the Fourth Proportional to 10,543.64, 14,543.58 and 6,291.72

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Solution

The fourth proportional to 10,543.64, 14,543.58 and 6,291.72 is: 8,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.64 : 14,543.58 = 6,291.72 : x
  2. Step 2: Convert to fraction form
    10,543.64/14,543.58 = 6,291.72/x
  3. Step 3: Cross multiply
    10,543.64x = 14,543.58 × 6,291.72
  4. Step 4: Simplify right side
    10,543.64x = 91,504,133.16
  5. Step 5: Solve for x
    x = 91,504,133.16/10,543.64
  6. Step 6: Final answer
    x = 8,678.61

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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.