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Finding the Fourth Proportional to 10,507.85, 14,501.86 and 5,792.13

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Solution

The fourth proportional to 10,507.85, 14,501.86 and 5,792.13 is: 7,993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.85 : 14,501.86 = 5,792.13 : x
  2. Step 2: Convert to fraction form
    10,507.85/14,501.86 = 5,792.13/x
  3. Step 3: Cross multiply
    10,507.85x = 14,501.86 × 5,792.13
  4. Step 4: Simplify right side
    10,507.85x = 83,996,700.96
  5. Step 5: Solve for x
    x = 83,996,700.96/10,507.85
  6. Step 6: Final answer
    x = 7,993.71

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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.