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Finding the Fourth Proportional to 10,970.71, 16,429.90 and 7,009.52

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Solution

The fourth proportional to 10,970.71, 16,429.90 and 7,009.52 is: 10,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.71 : 16,429.90 = 7,009.52 : x
  2. Step 2: Convert to fraction form
    10,970.71/16,429.90 = 7,009.52/x
  3. Step 3: Cross multiply
    10,970.71x = 16,429.90 × 7,009.52
  4. Step 4: Simplify right side
    10,970.71x = 115,165,712.65
  5. Step 5: Solve for x
    x = 115,165,712.65/10,970.71
  6. Step 6: Final answer
    x = 10,497.56

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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.