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Finding the Fourth Proportional to 7,812.36, 10,780.74 and 4,670.28

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Solution

The fourth proportional to 7,812.36, 10,780.74 and 4,670.28 is: 6,444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.36 : 10,780.74 = 4,670.28 : x
  2. Step 2: Convert to fraction form
    7,812.36/10,780.74 = 4,670.28/x
  3. Step 3: Cross multiply
    7,812.36x = 10,780.74 × 4,670.28
  4. Step 4: Simplify right side
    7,812.36x = 50,349,074.41
  5. Step 5: Solve for x
    x = 50,349,074.41/7,812.36
  6. Step 6: Final answer
    x = 6,444.80

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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.