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Finding the Fourth Proportional to 7,570.46, 10,444.34 and 4,736.68

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Solution

The fourth proportional to 7,570.46, 10,444.34 and 4,736.68 is: 6,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.46 : 10,444.34 = 4,736.68 : x
  2. Step 2: Convert to fraction form
    7,570.46/10,444.34 = 4,736.68/x
  3. Step 3: Cross multiply
    7,570.46x = 10,444.34 × 4,736.68
  4. Step 4: Simplify right side
    7,570.46x = 49,471,482.12
  5. Step 5: Solve for x
    x = 49,471,482.12/7,570.46
  6. Step 6: Final answer
    x = 6,534.80

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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.