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Finding the Fourth Proportional to 10,284.83, 15,424.05 and 3,710.16

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Solution

The fourth proportional to 10,284.83, 15,424.05 and 3,710.16 is: 5,564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.83 : 15,424.05 = 3,710.16 : x
  2. Step 2: Convert to fraction form
    10,284.83/15,424.05 = 3,710.16/x
  3. Step 3: Cross multiply
    10,284.83x = 15,424.05 × 3,710.16
  4. Step 4: Simplify right side
    10,284.83x = 57,225,693.35
  5. Step 5: Solve for x
    x = 57,225,693.35/10,284.83
  6. Step 6: Final answer
    x = 5,564.09

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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.