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Finding the Fourth Proportional to 10,560.88, 15,826.51 and 8,210.13

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Solution

The fourth proportional to 10,560.88, 15,826.51 and 8,210.13 is: 12,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.88 : 15,826.51 = 8,210.13 : x
  2. Step 2: Convert to fraction form
    10,560.88/15,826.51 = 8,210.13/x
  3. Step 3: Cross multiply
    10,560.88x = 15,826.51 × 8,210.13
  4. Step 4: Simplify right side
    10,560.88x = 129,937,704.55
  5. Step 5: Solve for x
    x = 129,937,704.55/10,560.88
  6. Step 6: Final answer
    x = 12,303.68

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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.