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Finding the Fourth Proportional to 7,632.66, 10,534.01 and 4,648.93

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Solution

The fourth proportional to 7,632.66, 10,534.01 and 4,648.93 is: 6,416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.66 : 10,534.01 = 4,648.93 : x
  2. Step 2: Convert to fraction form
    7,632.66/10,534.01 = 4,648.93/x
  3. Step 3: Cross multiply
    7,632.66x = 10,534.01 × 4,648.93
  4. Step 4: Simplify right side
    7,632.66x = 48,971,825.53
  5. Step 5: Solve for x
    x = 48,971,825.53/7,632.66
  6. Step 6: Final answer
    x = 6,416.09

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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.