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Finding the Fourth Proportional to 7,586.96, 10,510.56 and 7,405.52

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Solution

The fourth proportional to 7,586.96, 10,510.56 and 7,405.52 is: 10,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.96 : 10,510.56 = 7,405.52 : x
  2. Step 2: Convert to fraction form
    7,586.96/10,510.56 = 7,405.52/x
  3. Step 3: Cross multiply
    7,586.96x = 10,510.56 × 7,405.52
  4. Step 4: Simplify right side
    7,586.96x = 77,836,162.29
  5. Step 5: Solve for x
    x = 77,836,162.29/7,586.96
  6. Step 6: Final answer
    x = 10,259.20

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.