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Finding the Fourth Proportional to 7,570.56, 10,447.74 and 4,384.20

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Solution

The fourth proportional to 7,570.56, 10,447.74 and 4,384.20 is: 6,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.56 : 10,447.74 = 4,384.20 : x
  2. Step 2: Convert to fraction form
    7,570.56/10,447.74 = 4,384.20/x
  3. Step 3: Cross multiply
    7,570.56x = 10,447.74 × 4,384.20
  4. Step 4: Simplify right side
    7,570.56x = 45,804,981.71
  5. Step 5: Solve for x
    x = 45,804,981.71/7,570.56
  6. Step 6: Final answer
    x = 6,050.41

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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.