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Finding the Fourth Proportional to 7,586.73, 10,471.06 and 4,402.06

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Solution

The fourth proportional to 7,586.73, 10,471.06 and 4,402.06 is: 6,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.73 : 10,471.06 = 4,402.06 : x
  2. Step 2: Convert to fraction form
    7,586.73/10,471.06 = 4,402.06/x
  3. Step 3: Cross multiply
    7,586.73x = 10,471.06 × 4,402.06
  4. Step 4: Simplify right side
    7,586.73x = 46,094,222.24
  5. Step 5: Solve for x
    x = 46,094,222.24/7,586.73
  6. Step 6: Final answer
    x = 6,075.64

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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.