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Finding the Fourth Proportional to 7,586.66, 10,466.70 and 5,601.98

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Solution

The fourth proportional to 7,586.66, 10,466.70 and 5,601.98 is: 7,728.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.66 : 10,466.70 = 5,601.98 : x
  2. Step 2: Convert to fraction form
    7,586.66/10,466.70 = 5,601.98/x
  3. Step 3: Cross multiply
    7,586.66x = 10,466.70 × 5,601.98
  4. Step 4: Simplify right side
    7,586.66x = 58,634,244.07
  5. Step 5: Solve for x
    x = 58,634,244.07/7,586.66
  6. Step 6: Final answer
    x = 7,728.60

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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.