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Finding the Fourth Proportional to 10,510.74, 15,762.60 and 8,173.35

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Solution

The fourth proportional to 10,510.74, 15,762.60 and 8,173.35 is: 12,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.74 : 15,762.60 = 8,173.35 : x
  2. Step 2: Convert to fraction form
    10,510.74/15,762.60 = 8,173.35/x
  3. Step 3: Cross multiply
    10,510.74x = 15,762.60 × 8,173.35
  4. Step 4: Simplify right side
    10,510.74x = 128,833,246.71
  5. Step 5: Solve for x
    x = 128,833,246.71/10,510.74
  6. Step 6: Final answer
    x = 12,257.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.