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Finding the Fourth Proportional to 7,812.50, 10,781.25 and 5,824.76

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Solution

The fourth proportional to 7,812.50, 10,781.25 and 5,824.76 is: 8,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.50 : 10,781.25 = 5,824.76 : x
  2. Step 2: Convert to fraction form
    7,812.50/10,781.25 = 5,824.76/x
  3. Step 3: Cross multiply
    7,812.50x = 10,781.25 × 5,824.76
  4. Step 4: Simplify right side
    7,812.50x = 62,798,193.75
  5. Step 5: Solve for x
    x = 62,798,193.75/7,812.50
  6. Step 6: Final answer
    x = 8,038.17

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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.