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Finding the Fourth Proportional to 10,289.80, 15,434.70 and 7,009.30

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Solution

The fourth proportional to 10,289.80, 15,434.70 and 7,009.30 is: 10,513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.80 : 15,434.70 = 7,009.30 : x
  2. Step 2: Convert to fraction form
    10,289.80/15,434.70 = 7,009.30/x
  3. Step 3: Cross multiply
    10,289.80x = 15,434.70 × 7,009.30
  4. Step 4: Simplify right side
    10,289.80x = 108,186,442.71
  5. Step 5: Solve for x
    x = 108,186,442.71/10,289.80
  6. Step 6: Final answer
    x = 10,513.95

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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.