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Finding the Fourth Proportional to 10,358.80, 14,281.80 and 7,530.28

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Solution

The fourth proportional to 10,358.80, 14,281.80 and 7,530.28 is: 10,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.80 : 14,281.80 = 7,530.28 : x
  2. Step 2: Convert to fraction form
    10,358.80/14,281.80 = 7,530.28/x
  3. Step 3: Cross multiply
    10,358.80x = 14,281.80 × 7,530.28
  4. Step 4: Simplify right side
    10,358.80x = 107,545,952.90
  5. Step 5: Solve for x
    x = 107,545,952.90/10,358.80
  6. Step 6: Final answer
    x = 10,382.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.