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Finding the Fourth Proportional to 10,532.01, 14,537.07 and 6,550.74

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Solution

The fourth proportional to 10,532.01, 14,537.07 and 6,550.74 is: 9,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.01 : 14,537.07 = 6,550.74 : x
  2. Step 2: Convert to fraction form
    10,532.01/14,537.07 = 6,550.74/x
  3. Step 3: Cross multiply
    10,532.01x = 14,537.07 × 6,550.74
  4. Step 4: Simplify right side
    10,532.01x = 95,228,565.93
  5. Step 5: Solve for x
    x = 95,228,565.93/10,532.01
  6. Step 6: Final answer
    x = 9,041.82

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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.