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Finding the Fourth Proportional to 10,870.46, 16,300.16 and 5,315.48

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Solution

The fourth proportional to 10,870.46, 16,300.16 and 5,315.48 is: 7,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.46 : 16,300.16 = 5,315.48 : x
  2. Step 2: Convert to fraction form
    10,870.46/16,300.16 = 5,315.48/x
  3. Step 3: Cross multiply
    10,870.46x = 16,300.16 × 5,315.48
  4. Step 4: Simplify right side
    10,870.46x = 86,643,174.48
  5. Step 5: Solve for x
    x = 86,643,174.48/10,870.46
  6. Step 6: Final answer
    x = 7,970.52

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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.