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Finding the Fourth Proportional to 10,530.71, 15,782.36 and 4,283.44

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Solution

The fourth proportional to 10,530.71, 15,782.36 and 4,283.44 is: 6,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.71 : 15,782.36 = 4,283.44 : x
  2. Step 2: Convert to fraction form
    10,530.71/15,782.36 = 4,283.44/x
  3. Step 3: Cross multiply
    10,530.71x = 15,782.36 × 4,283.44
  4. Step 4: Simplify right side
    10,530.71x = 67,602,792.12
  5. Step 5: Solve for x
    x = 67,602,792.12/10,530.71
  6. Step 6: Final answer
    x = 6,419.59

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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.