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Finding the Fourth Proportional to 10,054.80, 15,022.70 and 9,710.28

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Solution

The fourth proportional to 10,054.80, 15,022.70 and 9,710.28 is: 14,507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.80 : 15,022.70 = 9,710.28 : x
  2. Step 2: Convert to fraction form
    10,054.80/15,022.70 = 9,710.28/x
  3. Step 3: Cross multiply
    10,054.80x = 15,022.70 × 9,710.28
  4. Step 4: Simplify right side
    10,054.80x = 145,874,574.80
  5. Step 5: Solve for x
    x = 145,874,574.80/10,054.80
  6. Step 6: Final answer
    x = 14,507.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.