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Finding the Fourth Proportional to 10,289.40, 15,434.10 and 8,345.40

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Solution

The fourth proportional to 10,289.40, 15,434.10 and 8,345.40 is: 12,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.40 : 15,434.10 = 8,345.40 : x
  2. Step 2: Convert to fraction form
    10,289.40/15,434.10 = 8,345.40/x
  3. Step 3: Cross multiply
    10,289.40x = 15,434.10 × 8,345.40
  4. Step 4: Simplify right side
    10,289.40x = 128,803,738.14
  5. Step 5: Solve for x
    x = 128,803,738.14/10,289.40
  6. Step 6: Final answer
    x = 12,518.10

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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.