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Finding the Fourth Proportional to 10,230.98, 15,271.78 and 8,779.46

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Solution

The fourth proportional to 10,230.98, 15,271.78 and 8,779.46 is: 13,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.98 : 15,271.78 = 8,779.46 : x
  2. Step 2: Convert to fraction form
    10,230.98/15,271.78 = 8,779.46/x
  3. Step 3: Cross multiply
    10,230.98x = 15,271.78 × 8,779.46
  4. Step 4: Simplify right side
    10,230.98x = 134,077,981.64
  5. Step 5: Solve for x
    x = 134,077,981.64/10,230.98
  6. Step 6: Final answer
    x = 13,105.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.