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Finding the Fourth Proportional to 10,047.75, 15,088.64 and 6,543.69

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Solution

The fourth proportional to 10,047.75, 15,088.64 and 6,543.69 is: 9,826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.75 : 15,088.64 = 6,543.69 : x
  2. Step 2: Convert to fraction form
    10,047.75/15,088.64 = 6,543.69/x
  3. Step 3: Cross multiply
    10,047.75x = 15,088.64 × 6,543.69
  4. Step 4: Simplify right side
    10,047.75x = 98,735,349.96
  5. Step 5: Solve for x
    x = 98,735,349.96/10,047.75
  6. Step 6: Final answer
    x = 9,826.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.