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Finding the Fourth Proportional to 10,507.77, 14,500.67 and 5,792.04

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Solution

The fourth proportional to 10,507.77, 14,500.67 and 5,792.04 is: 7,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.77 : 14,500.67 = 5,792.04 : x
  2. Step 2: Convert to fraction form
    10,507.77/14,500.67 = 5,792.04/x
  3. Step 3: Cross multiply
    10,507.77x = 14,500.67 × 5,792.04
  4. Step 4: Simplify right side
    10,507.77x = 83,988,431.71
  5. Step 5: Solve for x
    x = 83,988,431.71/10,507.77
  6. Step 6: Final answer
    x = 7,992.98

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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.