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Finding the Fourth Proportional to 10,870.77, 16,300.65 and 5,315.79

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Solution

The fourth proportional to 10,870.77, 16,300.65 and 5,315.79 is: 7,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.77 : 16,300.65 = 5,315.79 : x
  2. Step 2: Convert to fraction form
    10,870.77/16,300.65 = 5,315.79/x
  3. Step 3: Cross multiply
    10,870.77x = 16,300.65 × 5,315.79
  4. Step 4: Simplify right side
    10,870.77x = 86,650,832.26
  5. Step 5: Solve for x
    x = 86,650,832.26/10,870.77
  6. Step 6: Final answer
    x = 7,970.99

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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.