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Finding the Fourth Proportional to 10,386.20, 15,557.70 and 8,658.20

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Solution

The fourth proportional to 10,386.20, 15,557.70 and 8,658.20 is: 12,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.20 : 15,557.70 = 8,658.20 : x
  2. Step 2: Convert to fraction form
    10,386.20/15,557.70 = 8,658.20/x
  3. Step 3: Cross multiply
    10,386.20x = 15,557.70 × 8,658.20
  4. Step 4: Simplify right side
    10,386.20x = 134,701,678.14
  5. Step 5: Solve for x
    x = 134,701,678.14/10,386.20
  6. Step 6: Final answer
    x = 12,969.29

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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.